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1.

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1. The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
by J. J. Duistermaat
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2011
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8247-7
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電子ブック
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2. Symplectic Methods in Harmonic Analysis and in Mathematical Physics
by Maurice A. Gosson
出版情報: Basel : Springer Basel AG, 2011
シリーズ名: Pseudo-Differential Operators, Theory and Applications ; 7
オンライン: http://dx.doi.org/10.1007/978-3-7643-9992-4
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3.

電子ブック
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3. Nonlinear Partial Differential Equations
by Luis A. Caffarelli, François Golse, Yan Guo, Carlos E. Kenig, Alexis Vasseur
出版情報: Basel : Springer Basel AG, 2012
シリーズ名: Advanced Courses in Mathematics - CRM Barcelona ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0191-1
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4.

電子ブック
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4. Compressible Navier-Stokes Equations : Theory and Shape Optimization
by Pavel Plotnikov, Jan Sokołowski
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2012
シリーズ名: Monografie Matematyczne ; 73
オンライン: http://dx.doi.org/10.1007/978-3-0348-0367-0
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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
5.

電子ブック
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5. Geography of Order and Chaos in Mechanics : Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools
by Bruno Cordani
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Progress in Mathematical Physics ; 64
オンライン: http://dx.doi.org/10.1007/978-0-8176-8370-2
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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
6.

電子ブック
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6. Studies in Phase Space Analysis with Applications to PDEs
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
オンライン: http://dx.doi.org/10.1007/978-1-4614-6348-1
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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)
7.

電子ブック
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7. Operator Methods in Mathematical Physics : Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland
edited by Jan Janas, Pavel Kurasov, Ari Laptev, Sergei Naboko
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Operator Theory: Advances and Applications ; 227
オンライン: http://dx.doi.org/10.1007/978-3-0348-0531-5
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8.

電子ブック
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8. Special Functions of Mathematical (Geo-)Physics
by Willi Freeden, Martin Gutting
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0563-6
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目次情報: 続きを見る
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
9.

電子ブック
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9. Progress in Partial Differential Equations : Asymptotic Profiles, Regularity and Well-Posedness
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
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
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電子ブック
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10. Algebraic Approaches to Partial Differential Equations
by Xiaoping Xu
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-3-642-36874-5
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目次情報: 続きを見る
Preface
Introduction
Ordinary Differential Equations
Partial Differential Equations
Bibliography
Index
Preface
Introduction
Ordinary Differential Equations