1.
ＥＢ
by J. J. Duistermaat
2.
ＥＢ
by Maurice A. Gosson
3.
ＥＢ
by Nadir Jeevanjee
4.
ＥＢ
by V. Lakshmikantham, E. Escultura, S. Leela
5.
ＥＢ
by Sergio Benenti
6.
ＥＢ
by D.M. Gitman, I.V. Tyutin, B.L. Voronov
7.
ＥＢ
by Géza Schay
8.
ＥＢ
by Luis A. Caffarelli, François Golse, Yan Guo, Carlos E. Kenig, Alexis Vasseur
9.
ＥＢ
by Marco Mazzucchelli
10.
ＥＢ
edited by Christoph Lehner, Jürgen Renn, Matthias Schemmel
11.
ＥＢ
by John Snygg
12.
ＥＢ
edited by Daniel Bump, Solomon Friedberg, Dorian Goldfeld
目次情報:
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Preface
Introduction: Multiple Dirichlet Series
A Crystal Description for Symplectic Multiple Dirichlet Series
Metaplectic Whittaker Functions and Crystals of Type B
Metaplectic Ice
Littelmann patterns and Weyl Group Multiple Dirichlet Series of Type D
Toroidal Automorphic Forms, Waldspurger Periods and Double Dirichlet Series
Natural Boundaries and Integral Moments of L-functions.- A Trace Formula of Special Values of Automorphic L-functions
The Adjoint L-function of SU(2,1)
Symplectic Ice
On Witten Multiple Zeta-Functions Associated with Semisimple Lie Algebras III
A Pseudo Twin-Prime Theorem
Principal Series Representations of Metaplectic Groups over Local Fields
Two-Dimensional Adelic Analysis and Cuspidal Automorphic Representations of GL(2)
Preface
Introduction: Multiple Dirichlet Series
A Crystal Description for Symplectic Multiple Dirichlet Series
13.
ＥＢ
by Stephen M. Zemyan
目次情報:
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Preface
Introduction
Fredholm Integral Equations of the Second Kind (Separable Kernel)
Fredholm Integral Equations of the Second Kind (General Kernel)
Volterra Integral Equations
Differential and Integrodifferential Equations
Nonlinear Integral Equations
Singular Integral Equations
Systems of Integral Equations
Appendix A 2010 Mathematics Subject Classification 45-XX Integral Equations
Appendix B Specialized Vocabularies and Sample Translations
Bibliography
Index
Preface
Introduction
Fredholm Integral Equations of the Second Kind (Separable Kernel)
14.
ＥＢ
by Romano Antonio
出版情報:
Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012
シリーズ名:
Modeling and Simulation in Science, Engineering and Technology ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-0-8176-8352-8
所蔵情報:
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目次情報:
I Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus
10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics
A First-Order PDE.- B Fourier’s Series.- References.- Index
I Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus
10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics
A First-Order PDE.- B Fourier’s Series.- References.- Index
15.
ＥＢ
by Jan Awrejcewicz
目次情報:
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Preface
1. Particle Dynamics, Material System Dynamics and Rigid Body Motion About a Point
2. Mathematical and Physical Pendulum
3. Statics and Dynamics in Generalized Coordinates
4. Classical Equations of Dynamics
5. Theory of Impact
6. Vibrations of Mechanical Systems
7. Elements of Dynamics of Planets
8. Dynamics of Systems of Variable Mass
9. Body and Multibody Dynamics
10. Stationary Motions of a Rigid Body and their Stability. -11. Geometric Dynamics
Preface
1. Particle Dynamics, Material System Dynamics and Rigid Body Motion About a Point
2. Mathematical and Physical Pendulum
16.
ＥＢ
by Jan Awrejcewicz
目次情報:
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Preface
1. Fundamental Principles of Mechanics
2. Statics
3. Geometry of Masses
4. Kinematics of a Particle and Introduction to Kinematics of Rigid Bodies
5. Kinematics of a Rigid Body and Composite Motion of a Point
6. Kinematics of a Deformable Body
Preface
1. Fundamental Principles of Mechanics
2. Statics
17.
ＥＢ
by Jan Awrejcewicz, Zbigniew Koruba
目次情報:
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Preface
List of Symbols
1. Dynamics in Mechatronic Systems
2. Equations of Motion of a Rigid Spherical Body
3. Theory of Gyroscopes
4. Dynamics and Control of a Gyroscope
5. Gyroscopic Control in Self-Guidance Systems of Flying Objects.
Preface
List of Symbols
1. Dynamics in Mechatronic Systems
18.
ＥＢ
edited by Bourama Toni, Keith Williamson, Nasser Ghariban, Dawit Haile, Zhifu Xie
目次情報:
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Central Configuration of the N-Body Problem and Spacecraft Orbital Design, Dr. Zhifu Xie
A Note on Fractional Calculus and some Applications. Dr. Gaston N’Guerekata
A note on Non-Autonomous Systems of Second-Order Differential Equations, Dr. Toka Diagana
How the Talmud divides an Estate among Creditors, Dr. Stephen Schecter
On the non-uniqueness of the decomposition of weighted pseudo-almost periodic functions. Dr. Gaston N’Guerekata.-Note on the almost periodic Beverton-Holt equation. Paul Bezandry
Piecewise-defined Difference Equations: Open Problem, Dr. Candace Kent
Mathematics Behind Microstructures, Dr. Daniel Vasiliu
Tool Support for Efficient Programming of Graphics Processing Units, Dr. Kostadin Damevski
Association Studies of Racial Disparities in Cancer Survivability, Dr. Lisa Walls and Dr. Weidong Mao
Perfect Hexagons, Elementary Triangle and the Center of Cubic Curve. –Dr. Raymond Fletcher
Central Configuration of the N-Body Problem and Spacecraft Orbital Design, Dr. Zhifu Xie
A Note on Fractional Calculus and some Applications. Dr. Gaston N’Guerekata
A note on Non-Autonomous Systems of Second-Order Differential Equations, Dr. Toka Diagana
19.
ＥＢ
by Pavel Plotnikov, Jan Sokołowski
目次情報:
続きを見る
Preface
Introduction
1 Preliminaries
2 Physical background
3 Problem formulation
4 Basic statements
5 Nonstationary case. Existence theory
6 Pressure estimate
7 Kinetic theory. Fast density oscillations
8 Domain convergence
9 Flow around an obstacle. Domain dependence
10 Existence theory in nonsmooth domains
11 Sensitivity analysis. Shape gradient of the drag functional
12 Transport equations
13 Appendix
Bibliography
Notation
Index
Preface
Introduction
1 Preliminaries
20.
ＥＢ
by Tomasz Komorowski, Claudio Landim, Stefano Olla
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 345
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-642-29880-6
所蔵情報:
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Preface
Part I: General Theory
1.A Warming-up Example
2.Central Limit Theorems
3.RandomWalks in Random Environment
4.Bounds and Variational Principles for the Asymptotic Variance
Part II: Simple Exclusion Processes
5.The Simple Exclusion Process
6.Self Diffusion
7.Equilibrium Fluctuations of the Density Field
8.Regularity of the Asymptotic Variance
Part III: Diffusions in Random Environments
10.Variational Principles for the Limiting Variance
11.Diffusions with Divergence Free Drifts
12.Diffusions with Gaussian Drifts
13.Ornstein-Uhlenbeck Process with a Random Potential
14.Analytic Methods in Homogenization Theory
References
Notation
Subject Index
Preface
Part I: General Theory
1.A Warming-up Example
21.
ＥＢ
by Konrad Schmüdgen
目次情報:
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I Basics onClosed Operators
1 Closed Operators and Adjoint Operators
2 Spectrum of Closed Operators
3 Some Classes of Unbounded Operators
II Spectral Theory
4 Spectral Measures and Spectral Integrals
5 Spectral Decomposition of Selfadjoint and Normal Operators
III Special Topics
6 One-Parameter Groups and Semigroups of Operators
7 Miscellaneous
IV Petirbations of Selfadjointness and of Spectra of Selfadjoint Operators
8 Perturbations of Selfadjoint Operators
9 Trace Class Perturbations of Spectra of Selfadjoint Operators
V Forms and Operators
10 Semibounded Forms and Selfadjoint Operators
11 Sectorial Forms and m-Sectorial Operators
12 Discrete Spectrum of Selfadjoint Operators
VI Selfadjoint Extention Theory of Symmetric Operators
13 Selfajoint Extensions: Cayley Transform and Krein Transform
14 Selfadjoint Extensions: Boundary Triplets
15 Sturm-Liouville Operators
One-Dimensional Moment Problem
I Basics onClosed Operators
1 Closed Operators and Adjoint Operators
2 Spectrum of Closed Operators
22.
ＥＢ
by Bruno Cordani
目次情報:
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Preface
List of Figures
1 Introductory Survey
2 Analytical Mechanics and Integrable Systems
3 Perturbation Theory
4 Numerical Tools I: ODE Integration
5 Numerical Tools II: Detecting Order, Chaos, and Resonances
6 The Kepler Problem
7 The KEPLER Program
8 Some Perturbed Keplerian Systems
9 The Multi-Body Gravitational Problem
Bibliography
Index
Preface
List of Figures
1 Introductory Survey
23.
ＥＢ
edited by Kenji Iohara, Sophie Morier-Genoud, Bertrand Rémy
目次情報:
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A presentation of the deformed W1+1 algebra
Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes
PBW filtration over Z and compatible bases for VZ(_) in type An and Cn
On the subgeneric restricted blocks of affine category O at the critical level
Slavnov determinants, Yang-Mills structure constants, and discrete KP
Monodromy of partial KZ functors for rational Cherednik algebras
Category of finite dimensional modules over an orthosymplectic Lie superalgebra: small rank examples
Monoidal categorifications of cluster algebras of type A and D
A classification of roots of symmetric Kac-Moody root systems and its application
Fermions acting on quasi-local operators in the XXZ model
The Romance of the Ising Model
A(1) n -Geometric Crystal corresponding to Dynkin index i = 2 and its ultra-discretization
A Z3-orbifold theory of lattice vertex operator algebra and Z3-orbifold constructions
Words, automata and Lie theory for tilings
Toward Berenstein-Zelevinsky data in affine type A, part III: Proof of the connectedness
Quiver varieties and tensor products, II
Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images
Padé interpolation for elliptic Painlevé equation
Non-commutative harmonic oscillators
The inversion formula of polylogarithms and the Riemann-Hilbert problem
Some remarks on the Quantum Hall Effect
Ordinary differential equations on rational elliptic surfaces
On the spectral gap of the Kac walk and other binary collision processes on d-dimensional lattice
A restricted sum formula for a q-analogue of multiple zeta values
A trinity of the Borcherds _-function
Sum rule for the eight-vertex model on its combinatorial line
A presentation of the deformed W1+1 algebra
Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes
PBW filtration over Z and compatible bases for VZ(_) in type An and Cn
24.
ＥＢ
by Neal Madras, Gordon Slade
目次情報:
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Preface.- Introduction
Scaling, polymers and spins
Some combinatorial bounds
Decay of the two-point function
The lace expansion
Above four dimensions
Pattern theorems
Polygons, slabs, bridges and knots
Analysis of Monte Carlo methods
Related Topics
Random walk
Proof of the renewal theorem
Tables of exact enumerations
Bibliography
Notation
Index.
Preface.- Introduction
Scaling, polymers and spins
Some combinatorial bounds
25.
ＥＢ
by Dmitry Panchenko
目次情報:
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Preface
1 The Free Energy and Gibbs Measure
2 The Ruelle Probability Cascades
3 The Parisi Formula
4 Toward a Generalized Parisi Ansatz
A Appendix
Bibliography
Notes and Comments
References
Index
Preface
1 The Free Energy and Gibbs Measure
2 The Ruelle Probability Cascades
26.
ＥＢ
by Matteo Colangeli
目次情報:
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1. Introduction
2. From the Phase Space to the Boltzmann Equation
3. Methods of Reduced Description
4. Hydrodynamic Spectrum of Simple Fluids
5. Hydrodynamic Fluctuations from the Boltzmann Equation
6. 13 Moment Grad System
7. Conclusions
References.
1. Introduction
2. From the Phase Space to the Boltzmann Equation
3. Methods of Reduced Description
27.
ＥＢ
edited by Bourama Toni
目次情報:
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An Overview of Durability and Damage Tolerance Methodology at NASA Langley Research Center, Jonathan Ransom, Edward Glaessgen, James Ratcliffe
On the -convergence Theory and its Application to Block Copolymer Morphology, Xiaofeng Ren
‘Rainbows’ in homogeneous and radially inhomogeneous spheres: connections with ray, wave and potential scattering theory, John Adam
Understanding the Dynamics of Collision and near-collision motion in the N-body problem, Lennard Bakker
Absolute Stability and Conditional Stability in General Delayed Differential Equations, Junping Shi
Existence of Antiperiodic solutions to semilinear evolution equations in intermediate Banach Spaces, Gaston N’Guerekata, Gisele Mophou
Signal, Image Processing and Machine Learning; The Key to Complex Problems in Medicine and Biology, Masha Zahery, Kayvan Najarian
Real-Time Noise Cancellation using Wavelet Transforms, Eshan Sheybani
Null Controllability of the heat equation with two constraints on the control: application to a discriminating sentinel with given sensitivity, Ousseynou Nakoulima, Sadou Tao
A Galerkin Method Solution of Heat Transfer Problems in Closed Channels: Fluid Flow Analysis, Nasser Ghariban
Optimal Control for Distributed Linear Systems subjected to Null-controllability with constraints on the state, Michelle Mercan
Almost and Pseudo-almost Limit Cycles with Applications to quasiperiodic Solitary Waves, Bourama Toni, Melissa Watts
On Almost periodic Stochastic Difference Equations, Paul Bezandry
An Overview of Durability and Damage Tolerance Methodology at NASA Langley Research Center, Jonathan Ransom, Edward Glaessgen, James Ratcliffe
On the -convergence Theory and its Application to Block Copolymer Morphology, Xiaofeng Ren
‘Rainbows’ in homogeneous and radially inhomogeneous spheres: connections with ray, wave and potential scattering theory, John Adam
28.
ＥＢ
edited by Massimo Cicognani, Ferruccio Colombini, Daniele Del Santo
出版情報:
New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名:
Progress in Nonlinear Differential Equations and Their Applications ; 84
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-1-4614-6348-1
所蔵情報:
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目次情報:
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Preface
The water-waves equations: from Zakharov to Euler
On the characterization of pseudodifferential operators (old and new)
Improved multipolar Hardy inequalities
The role of spectral anisotropy in the resolution of the three-dimensional Navier-Stokes equations
Schrödinger equations in modulation spaces
New maximal regularity results for the heat equation in exterior domains, and applications
Cauchy problem for some 22 hyperbolic systems of pseudo-differential equations with nondiagonalisable principal part
Scattering problem for quadratic nonlinear Klein-Gordon equation in 2d
Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system with rough density
The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation
L1 estimates for oscillating integrals related to structural damped wave models
On the Cauchy problem for noneffectively hyperbolic operators, a transition case
References
Preface
The water-waves equations: from Zakharov to Euler
On the characterization of pseudodifferential operators (old and new)
29.
ＥＢ
edited by Radu Laza, Matthias Schütt, Noriko Yui
目次情報:
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.-Preface.-Introduction
List of Participants
K3 and Enriques Surfaces (S. Kondo)
Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieties (J.D. Lewis)
Two Lectures on the Arithmetic of K3 Surfaces (M. Schütt)
Modularity of Calabi–Yau Varieties (N. Yui)
Explicit Algebraic Coverings of a Pointed Torus (A. Anema, J. Top)
Elliptic Fibrations on the Modular Surface Associated to Γ1(8)
Universal Kummer Families over Shimura Curves (A. Besser, R. Livné)
Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic (I.V. Dolgachev)
Picard-Fuchs Equations of Special One-Parameter Families of Invertible Polynomials (S. Gährs)
A Structure Theorem for Fibrations on Delsarte Surfaces (B. Heijne, R. Kloosterman)
Fourier–Mukai Partners and Polarised K3 Surfaces (K. Hulek, D. Ploog)
On a Family of K3 Surfaces with S4 Symmetry (D. Karp, J. Lewish, D. Moore, D. Skjorshammer, U. Whitcher)
K1ind of Elliptically Fibered K3 Surfaces (M. Kerr)
A Note About Special Cycles on Moduli Spaces of K3 Surfaces (S. Kudla)
Enriques Surfaces of Hutchinson–Göpel Type and Mathieu Automorphisms (S. Mukai, H. Ohashi)
Quartic K3 Surfaces and Cremona Transformations (K. Oguiso)
Invariants of Regular Models of the Product of Two Elliptical Curves at a Place of Multiplicative Reduction (C. Schoen)
Dynamics of Special Points on Intermediate Jacobians (X. Chen, J.D. Lewis)
Calabi–Yau Conifold Expansions (S. Cynk, D. van Straten)
Quadratic Twists of Rigid Calabi–Yau Threefolds over Q (F.Q. Gouvêa, I. Kimming, N. Yui)
Counting Sheaves on Calabi–Yau and Abelian Threefolds (M.G. Gulbrandsen)
The Serge Cubic and Borcherds Products (S. Kondo)
Quadi-Modular Forms Attached to Hodge Structures (H. Movasati)
The Zero Locus of the Infinitesimal Invariable (G. Pearlstein, Ch. Schnell)
.-Preface.-Introduction
List of Participants
K3 and Enriques Surfaces (S. Kondo)
30.
ＥＢ
by Brian C. Hall
目次情報:
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1 The Experimental Origins of Quantum Mechanics
2 A First Approach to Classical Mechanics
3 A First Approach to Quantum Mechanics
4 The Free Schrödinger Equation
5 A Particle in a Square Well
6 Perspectives on the Spectral Theorem
7 The Spectral Theorem for Bounded Self-Adjoint Operators: Statements
8 The Spectral Theorem for Bounded Sef-Adjoint Operators: Proofs
9 Unbounded Self-Adjoint Operators
10 The Spectral Theorem for Unbounded Self-Adjoint Operators
11 The Harmonic Oscillator
12 The Uncertainty Principle
13 Quantization Schemes for Euclidean Space
14 The Stone–von Neumann Theorem
15 The WKB Approximation
16 Lie Groups, Lie Algebras, and Representations
17 Angular Momentum and Spin
18 Radial Potentials and the Hydrogen Atom
19 Systems and Subsystems, Multiple Particles
V Advanced Topics in Classical and Quantum Mechanics
20 The Path-Integral Formulation of Quantum Mechanics
21 Hamiltonian Mechanics on Manifolds
22 Geometric Quantization on Euclidean Space
23 Geometric Quantization on Manifolds
A Review of Basic Material
References. - Index
1 The Experimental Origins of Quantum Mechanics
2 A First Approach to Classical Mechanics
3 A First Approach to Quantum Mechanics
31.
ＥＢ
edited by Bertrand Duplantier
目次情報:
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Foreword
Time and Relativity, Thibault Damour
(Ir)reversibility and Entropy, Cédric Villani
(Ir)réversibilité et entropie, Cédric Villani
Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale, Christopher Jarzynski
Time Measurement in the XXIst Century, Christophe Salomon
Time’s Arrow and Eddington’s Challenge, Huw Price
Image of Time’s Irreversibility, Catherine de Mitry
Image de l'irréversibilité du Temps, Catherine de Mitry
Foreword
Time and Relativity, Thibault Damour
(Ir)reversibility and Entropy, Cédric Villani
32.
ＥＢ
edited by Jan Janas, Pavel Kurasov, Ari Laptev, Sergei Naboko
33.
ＥＢ
by Willi Freeden, Martin Gutting
目次情報:
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1 Introduction: Geomathematical Motivation
Part I: Auxiliary Functions
2 The Gamma Function
3 Orthogonal Polynomials
Part II: Spherically Oriented Functions.- 4 Scalar Spherical Harmonics in R^3
5 Vectorial Spherical Harmonics in R^3
6 Spherical Harmonics in R^q
7 Classical Bessel Functions
8 Bessel Functions in R^q
Part III: Periodically Oriented Functions
9 Lattice Functions in R
10 Lattice Functions in R^q
11 Concluding Remarks
References
Index
1 Introduction: Geomathematical Motivation
Part I: Auxiliary Functions
2 The Gamma Function
34.
ＥＢ
edited by Michael Reissig, Michael Ruzhansky
出版情報:
Heidelberg : Springer International Publishing : Imprint: Springer, 2013
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 44
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-319-00125-8
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Preface
Global Existence and Energy Decay of Solutions for a Nondissipative Wave Equation with a Time-Varying Delay Term
Non-uniqueness and uniqueness in the Cauchy problem of elliptic and backward-parabolic equations
On internal regularity of solutions to the initial value problem for the Zakharov–Kuznetsov equation
Singular semilinear elliptic equations with subquadratic gradient terms
On the parabolic regime of a hyperbolic equation with weak dissipation: the coercive case
H¥ well-posedness for degenerate p-evolution models of higher order with time-dependent coefficients
On the global solvability for semilinear wave equations with smooth time dependent propagation speeds
Filippov Solutions to Systems of Ordinary Differential Equations with Delta Function Terms as Summands
Resolvent estimates and scattering problems for Schr¨odinger, Klein-Gordon and wave equations
On an Optimal Control Problem for the Wave Equation in One Space Dimension Controlled by Third Type Boundary Data
Critical exponent for the semilinear wave equation with time or space dependent damping
A note on a class of conservative, well-posed linear control systems
Recent progress in smoothing estimates for evolution equations
Differentiability of Inverse Operators
Quasi-symmetrizer and hyperbolic equations
Solution of the Cauchy problem for generalized Euler-Poisson-Darboux equation by the method of fractional integrals
Global Solutions of Semilinear System of Klein-Gordon Equations in de Sitter Spacetime
Preface
Global Existence and Energy Decay of Solutions for a Nondissipative Wave Equation with a Time-Varying Delay Term
Non-uniqueness and uniqueness in the Cauchy problem of elliptic and backward-parabolic equations
35.
ＥＢ
by Xiaoping Xu
目次情報:
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Preface
Introduction
Ordinary Differential Equations
Partial Differential Equations
Bibliography
Index
Preface
Introduction
Ordinary Differential Equations
36.
ＥＢ
edited by Vladimir Dobrev
37.
ＥＢ
edited by Larisa Beilina
目次情報:
続きを見る
Theoretical and Numerical Study of Iteratively Truncated Newton's Algorithm, Anatoly B. Bakushinsky, Alexandra B. Smirnova, and Hui Liu
Approximate Global Convergence in Imaging of Land Mines from Backscattered Data, L. Beilina and M. V. Klibanov
Time-adaptive FEM for Distributed Parameter Identification in Biological Models, L. Beilina and I.Gainova
Adaptive finite element method in reconstruction of dielectrics from backscattered data, L. Beilina, M. P. Hatlo Andresen, H. E. Krogstad
A Posteriori Error Estimates for Fredholm Integral Equations of the First Kind, N. Koshev and L. Beilina
Inverse Problems in Geomechanics: Diagnostics and Prediction of the State of Rock Masses with Estimating Their Properties, L. A. Nazarova and L.A. Nazarov
A Globally Convergent Numerical Method for Coefficient Inverse Problems with Time-Dependent Data, Aubrey Rhoden, Natee Patong, Yueming Liu, Jianzhong Su and Hanli Liu
Adaptive FEM with relaxation for a hyperbolic coefficient inverse problem, L. Beilina and M. V. Klibanov
Error Estimation in Ill-posed Problems in Special Cases, A. G. Yagola, Y. M. Korolev
Stable numerical methods of approaching quantum mechanical molecular force fields to experimental data, G. Kuramshina, I. Kochikov and A. Yagola
On the Alternating Method for Cauchy Problems and its Finite Element Discretisation, Thouraya N. Baranger B. Tomas Johansson and Romain Rischette
Theoretical and Numerical Study of Iteratively Truncated Newton's Algorithm, Anatoly B. Bakushinsky, Alexandra B. Smirnova, and Hui Liu
Approximate Global Convergence in Imaging of Land Mines from Backscattered Data, L. Beilina and M. V. Klibanov
Time-adaptive FEM for Distributed Parameter Identification in Biological Models, L. Beilina and I.Gainova
38.
ＥＢ
by C.B. Wang
目次情報:
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Introduction
Densities in Hermitian Matrix Models
Bifurcation Transitions and Expansions
Large-N Transitions and Critical Phenomena
Densities in Unitary Matrix Models
Transitions in the Unitary Matrix Models
Marcenko-Pastur Distribution and McKay’s Law
Introduction
Densities in Hermitian Matrix Models
Bifurcation Transitions and Expansions
39.
ＥＢ
by Paolo Biscari, Giuseppe Saccomandi, Tommaso Ruggeri, Maurizio Vianello
目次情報:
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1 Cinematica del punto
2 Cinematica del corpo rigido
3 Cinematica relativa
4 Sistemi vincolati
5 Geometria delle masse
6 Forze, lavoro, potenziale
7 Leggi della Meccanica
8 Statica
9 Dinamica del punto materiale
10 Dinamica dei sistemi
11 Dinamica del corpo rigido
12 Meccanica lagrangiana
13 Statica dei continui monodimensionali
Appendice A. Richiami di calcolo
1 Cinematica del punto
2 Cinematica del corpo rigido
3 Cinematica relativa
40.
ＥＢ
edited by Frédéric Bourgeois, Vincent Colin, András Stipsicz
目次情報:
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Mathematical contributions from V.I. Arnold
Topological methods in 3-dimensional contact geometry
A short introduction to Fukaya categories
Open books and Lefschetz pencils in contact geometry
Introduction to contact topology in higher dimensions
Bordered Heegaard Floer homology
Stein structures: existence and flexibility
Embedded contact homology, cobordism maps, and applications
Knot contact homology and applications
Mathematical contributions from V.I. Arnold
Topological methods in 3-dimensional contact geometry
A short introduction to Fukaya categories
41.
ＥＢ
edited by Alejandro F. Ramírez, Gérard Ben Arous, Pablo A. Ferrari, Charles M. Newman, Vladas Sidoravicius, Maria Eulália Vares
目次情報:
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Two ways to solve ASEP
Coarsening in 2d slabs
Selected topics in RWRE
The scaling limit for zero temperature planar Ising droplets: with and without magnetic fields
Airy processes and variational problems
Two ways to solve ASEP
Coarsening in 2d slabs
Selected topics in RWRE
42.
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by Vladimir N. Dubinin
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Preface
1.Conformal capacity
2. Asymptotics of the condenser capacity when one of the plate degenerates
Special transformations
4. Symmetrization
5. Metric properties of sets and condensers
6. Problems of extremal decomposition
7. Univalent functions
8. Multivalent functions
Appendices: A1. Dirichlet principle
A2. Uniqueness theorem for contracting mapping
A3. On separating transformation of sets and condensers
A4. On conservation of reduced moduli under geometric trans-formation of domains
A5. Quadratic differentials
A6. Unsolved problems
References
Basic notations
Subject index
Preface
1.Conformal capacity
2. Asymptotics of the condenser capacity when one of the plate degenerates
43.
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by Andrey Popov
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Introduction
1 Foundations of Lobachevsky geometry: axiomatics, models, images in Euclidean space
2 The problem of realizing the Lobachevsky geometry in Euclidean space
3 The sine-Gordon equation: its geometry and applications of current interest
4 Lobachevsky geometry and nonlinear equations of mathematical physics
5 Non-Euclidean phase spaces. Discrete nets on the Lobachevsky plane and numerical integration algorithms for Λ2-equations
Bibliography
Index
Introduction
1 Foundations of Lobachevsky geometry: axiomatics, models, images in Euclidean space
2 The problem of realizing the Lobachevsky geometry in Euclidean space
44.
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by Leonor Godinho, José Natário
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Differentiable Manifolds
Differential Forms
Riemannian Manifolds
Curvature
Geometric Mechanics
Relativity
Differentiable Manifolds
Differential Forms
Riemannian Manifolds
45.
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by Timothy D. Andersen, Chjan C. Lim
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Introduction
Vortex Filaments and Where to Find Them
Statistical Mechanics
Parallel Filaments
Curved Filaments
Quantum Fluids
Plasmas
Computational Methods
Quasi 2-D Monte Carlo in Deep Ocean Convection
Conclusion
Introduction
Vortex Filaments and Where to Find Them
Statistical Mechanics
46.
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by Vieri Benci, Donato Fortunato
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1 The general principles
2 Solitary waves and solitons: abstract theory
3 The nonlinear Schrödinger equation
4 The nonlinear Klein-Gordon equation
5 The Nonlinear Klein-Gordon-Maxwell equations
6 The nonlinear Schrödinger-Maxwell equations
7 The nonlinear beam equation
8 Vortices
9 Appendix
1 The general principles
2 Solitary waves and solitons: abstract theory
3 The nonlinear Schrödinger equation
47.
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by Farook Rahaman
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Chapter 1. Pre-Relativity and Galilean Transformation
Chapter 2. Michelson-Morley Experiment and Velocity of Light
Chapter 3. Lorentz Transformations
Chapter 4. Mathematical Properties of Lorentz Transformations
Chapter 5. More Mathematical Properties of Lorentz Transformations
Chapter 6. Geometric Interpretation of Spacetime
Chapter 7. Relativistic Velocity and Acceleration
Chapter 8. Four Dimensional World
Chapter 9. Mass in Relativity
Chapter 10. Relativistic Dynamics
Chapter 11. Photon in Relativity
Chapter 12. Relativistic Lagrangian and Hamiltonian
Chapter 13. Electrodynamics in Relativity
Chapter 14. Relativistic Mechanics of continua
Chapter 1. Pre-Relativity and Galilean Transformation
Chapter 2. Michelson-Morley Experiment and Velocity of Light
Chapter 3. Lorentz Transformations
48.
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by Paolo Biscari, Tommaso Ruggeri, Giuseppe Saccomandi, Maurizio Vianello
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1 Cinematica del punto
2 Cinematica del corpo rigido
3 Cinematica relativa
4 Sistemi vincolati
5 Geometria delle masse
6 Forse, lavoro, potenziale
7 Leggi della Meccanica
8 Statica
9 Dinamica del punto materiale
10 Dinamica dei sistemi
11 Dinamica del corpo rigido
12 Meccanica Relativa
13 Meccanica Langragiana
14 Statica dei continui monodimensionali
15 Appendice A.
1 Cinematica del punto
2 Cinematica del corpo rigido
3 Cinematica relativa
49.
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by Yuming Qin, Xin Liu, Taige Wang
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Preface
1 Global Existence and Asymptotic Behavior for the Cauchy Problem of the 1D Magnetohydrodynamic Fluid System
2 Global Existence and Exponential Stability for a 1D Compressible and Radiative MHD Flow
3 Global Smooth Solutions for 1D Thermally Radiative Magnetohydrodynamics with Selfgravitation
4 Global Smooth Solutions to A 1D Self-gravitating Viscous Radiative and Reactive Gas
5 The Cauchy Problem for A 1D Compressible Viscous Micropolar Fluid Model
6 Global Existence and Exponential Stability for A 1D Compressible Viscous Micropolar Fluid Model
7 Global Existence and Exponential Stability of Solutions to the 1D Full non-Newtonian Fluids
8 Exponential Stability of Spherically Symmetric Solutions to Nonlinear Non-autonomous Compressible Navier-Stokes Equations
Bibliography
Index.
Preface
1 Global Existence and Asymptotic Behavior for the Cauchy Problem of the 1D Magnetohydrodynamic Fluid System
2 Global Existence and Exponential Stability for a 1D Compressible and Radiative MHD Flow
50.
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by Stephen Bruce Sontz
目次情報:
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Introduction
Basics of Manifolds
Vector Bundles
Vectors and Covectors
Differential Forms
Lie Derivatives
Lie Groups
Frobenius Theorem
Principle Bundles
Connections on Principle Bundles
Curvature of a Connection
Classical Electromagnetism
Yang-Mills Theory
Gauge Theory
The Dirac Monopole
Instantons
What Next?
Discussion of the Exercises
Introduction
Basics of Manifolds
Vector Bundles
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