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1. A Birman-Schwinger Principle in Galactic Dynamics. 1st ed. 2021
by Markus Kunze
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Progress in Mathematical Physics ; 77
オンライン: https://doi.org/10.1007/978-3-030-75186-9
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Preface
Introduction
The Antonov Stability Estimate
On the Period Function $T_1$
A Birman-Schwinger Type Operator
Relation to the Guo-Lin Operator
Invariances
Appendix I: Spherical Symmetry and Action-Angle Variables
Appendix II: Function Spaces and Operators
Appendix III: An Evolution Equation
Appendix IV: On Kato-Rellich Perturbation Theory
Preface
Introduction
The Antonov Stability Estimate
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2. Multi-Valued Variational Inequalities and Inclusions. 1st ed. 2021
by Siegfried Carl, Vy Khoi Le
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-65165-7
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3. Functional Analysis in Interdisciplinary Applications—II : ICAAM, Lefkosa, Cyprus, September 6–9, 2018. 1st ed. 2021
edited by Allaberen Ashyralyev, Tynysbek Sh. Kalmenov, Michael V. Ruzhansky, Makhmud A. Sadybekov, Durvudkhan Suragan
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 351
オンライン: https://doi.org/10.1007/978-3-030-69292-6
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Part I Theory of Functions and Functional Spaces: G. B. Bakanov, Investigation of Finite-Difference Analogue of the Integral Geometry Problem with a Weight Function
A. Auwalu and A. Denker, Cone Rectangular Metric Spaces over Banach Algebras and Fixed Point Results of T-contraction Mappings
F. Kh. Muradov, On the Ternary Semigroups of Continuous Mappings
F. Hezenci and Y. Sozen, A Note on Representation Variety of Abelian Groups and Reidemeister Torsion
A. Ashyralyev and A. Taskin, The Structure of Fractional Spaces Generated by a Two-Dimensional Difference Neutron Transport Operator and Its Applications
M. A. Sadybekov and B. O. Derbissaly, Boundary Conditions of Volume Hyperbolic Potential in a Domain with Curvilinear Boundary
Part II Differential Equations and Boundary Value Problems: S. C. Buranay and L. A. Farinola, Six Point Implicit Methods for the Approximation of the Derivatives of the Solution of First Type Boundary Value Problem for Heat Equation
C. Ashyralyyev, Identification Elliptic Problem with Dirichlet and Integral Conditions
V. V. Karachik and B. Kh.Turmetov, On Solvability of Some Boundary Value Problems with Involution for the Biharmonic Equation
A. Ashyralyev, T. A. Hıdayat and A. Sarsanbi, On the stability of Schrodinger type involutory differential equations
M. Ashyraliyev, A. Ashyralyev and V. Zvyagin, A Space-Dependent Source Identification Problem for Hyperbolic-Parabolic Equations
A. Ashyralyev, K. Turk and D. Agirseven, On the Stability of the Time Delay Telegraph Equation with Neumann Condition
M. Ashyraliyev and M. A. Ashyralyyeva, A Note on a Hyperbolic-Parabolic Problem with Involution
A. Ashyralyev and A. S. Erdogan, Numerical Solution of a Parabolic Source Identification Problem with Involution and Neumann Condition
Part III Differential and Integral Operators and Spectral Theory: D. Shilibekova, Uncertainty Type Principles for Radial Derivatives
A. Kashkynbayev and M. Mustafa, Basic Theory of Impulsive Quaternion-Valued Linear Systems
A. Kassymov and D. Suragan, Lyapunov-Type Inequality for Fractional Sub-Laplacians
Part IV Mathematical Methods in Physical Sciences: A. Boldyrev and V. Zvyagin, Attractors for Weak Solutions of a Regularized Model of Viscoelastic Mediums Motion With Memory in Non-Autonomous Case
E. Hincal, M. Sayan, B. Kaymakamzade, T. Şanlıdağ, F. Tijjani Sa’ad and Isa A. Baba, Trends and Risk of HIV/AIDS in Turkey and Its Cities
O. Yildirim and M. Uzun, A Unified Numerical Method for Solving System of Nonlinear Wave Equations
E. Hincal, G. Soykut, F. Tijjani Sa’ad, S. Vatansever, Isa A. Baba, İ. Çalış, B. Kaymakamzade and Eda Becer, Comparison of The Rate of Induced Intrinsic Pathway of Apoptosis on COLO-320 and COLO-741
Part I Theory of Functions and Functional Spaces: G. B. Bakanov, Investigation of Finite-Difference Analogue of the Integral Geometry Problem with a Weight Function
A. Auwalu and A. Denker, Cone Rectangular Metric Spaces over Banach Algebras and Fixed Point Results of T-contraction Mappings
F. Kh. Muradov, On the Ternary Semigroups of Continuous Mappings
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4. Basic Monotonicity Methods with Some Applications. 1st ed. 2021
by Marek Galewski
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Compact Textbooks in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-75308-5
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Preface
Introduction to the topic of the course
Some excerpts from functional analysis
Monotone operators
On the Fenchel-Young conjugate
Potential operators
Existence of solutions to abstract equations
Normalized duality mapping
On the Galerkin method
Some selected applications
Preface
Introduction to the topic of the course
Some excerpts from functional analysis
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5. Nonlinear Fractional Schrödinger Equations in R^N. 1st ed. 2021
by Vincenzo Ambrosio
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Frontiers in Elliptic and Parabolic Problems ;
オンライン: https://doi.org/10.1007/978-3-030-60220-8
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Preliminaries
Some abstract results
Fractional scalar field equations
Ground states for a pseudo-relativistic Schrödinger equation
Ground states for a superlinear fractional Schrödinger equation with potentials
Fractional Schrödinger equations with Rabinowitz condition
Fractional Schrödinger equations with del Pino-Felmer assumptions
Fractional Schrödinger equations with superlinear or asymptotically linear nonlinearities
Multiplicity and concentration results for a fractional Choquard equation
A multiplicity result for a fractional Kirchho equation with a general nonlinearity
Multiplicity and concentration of positive solutions for a fractional Kirchho equation
Concentrating solutions for a fractional Kirchho equation with critical growth
Multiplicity and concentration results for a fractional Schrödinger Poisson system with critical growth
An existence result for a fractional Kirchho -Schrödinger-Poisson system
Multiple positive solutions for a non-homogeneous fractional Schrödinger equation
Sign-changing solutions for a fractional Schrödinger equation with vanishing potentials
Fractional Schrödinger equations with magnetic fields
Preliminaries
Some abstract results
Fractional scalar field equations
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6. Inverse Linear Problems on Hilbert Space and their Krylov Solvability. 1st ed. 2021
by Noè Angelo Caruso, Alessandro Michelangeli
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-88159-7
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Introduction and motivation
Krylov solvability of bounded linear inverse problems
An analysis of conjugate-gradient based methods with unbounded operators
Krylov solvability of unbounded inverse problems
Krylov solvability in a perturbative framework
Outlook on general projection methods and weaker convergence
References
Index
Introduction and motivation
Krylov solvability of bounded linear inverse problems
An analysis of conjugate-gradient based methods with unbounded operators
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7. Operator Theory and Differential Equations. 1st ed. 2021
edited by Anatoly G. Kusraev, Zhanna D. Totieva
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Trends in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-49763-7
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Extinction In a Finite Time for Parabolic Equations of Fast Diffusion Type on Manifolds
Inverse Problems In The Multidimensional Hyperbolic Equation With Rapidly Oscillating Absolute Term
On The Brezis-Lieb Lemma and Its Extensions
On the Commutant of the Generalized Backward Shift Operator in Weighted Spaces of Entire Functions
The Conditions of Global Boundedness for the Solutions of Continuous Social Stratification Model
Stochastic Test of a Minimal Surface
On Isomorphism of Some Functional Spaces under Action of Two Dimensional Singular Integral Operators
On One Class of Solutions of The Darboux System
Boolean Valued Analysis: Background And Results
Approximation Properties of Vallee Poussin Means For Special Series of Ultraspherical Jacobi
Laplace’s Integrals And Stability of The Open Flows of in Viscid Incompressible Fluid
Spectral Properties of Killing Vector Fields of Constant Length And Bounded Killing Vector Fields
The Radon-Nikodym Theorem for Disjointness ´Preserving Orthogonally Additive Operators
On Continuous Linear Right Inverse To Convolution Operator
Long Wavelength Asymptotics of Self-Oscillations of Viscous Incompressible Fluid
The convergence of the Fourier – Jacobi series in weighted variable exponent Lebesgue spaces
Hyperbolic B-potentials: Properties and Inversion
Some Properties of Sobolev Orthogonal Polynomials Associated with Chebyshev Polynomials of the Second Kind
Structure of Essential Spectrum and Discrete Spectra of The Energy Operator of Five-Electron Systems In The Hubbard Model. Doublet States
On Coefficient Inverse Problems of Heat Conduction for Functionally Graded Materials
Investigation Of Waves Processes In Inhomogeneous Cylindrical Waveguides
Solution Of Some Class First-Order Quasilinear Partial Differential Equations
Extinction In a Finite Time for Parabolic Equations of Fast Diffusion Type on Manifolds
Inverse Problems In The Multidimensional Hyperbolic Equation With Rapidly Oscillating Absolute Term
On The Brezis-Lieb Lemma and Its Extensions
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8. Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I : Dirichlet Boundary Conditions on Euclidean Space. 1st ed. 2022
by Jérôme Le Rousseau, Gilles Lebeau, Luc Robbiano
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2022
シリーズ名: PNLDE Subseries in Control ; 97
オンライン: https://doi.org/10.1007/978-3-030-88674-5
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Introduction
Part 1: Calculus with a Large Parameter, Carleman Estimates Derivation
(Pseudo-)differential Operators with a Large Parameter
Carleman Estimate for a Second-Order Elliptic Operator
Optimality Aspects of Carleman Estimates
Part 2: Applications of Carleman Estimates
Unique Continuation
Stabilization of the Wave Equation with an Inner Damping
Controllability of Parabolic Equations
Part 3: Background Material: Analysis and Evolution Equations
A Short Review of Distribution Theory
Invariance under Change of Variables
Elliptic Operator with Dirichlet Data and Associated Semigroup
Some Elements of Functional Analysis
Some Elements of Semigroup Theory
Bibliography
Subject Index
Index of Notation
Introduction
Part 1: Calculus with a Large Parameter, Carleman Estimates Derivation
(Pseudo-)differential Operators with a Large Parameter
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9. Théorie spectrale et mécanique quantique. 1st ed. 2022
by Mathieu Lewin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Mathématiques et Applications ; 87
オンライン: https://doi.org/10.1007/978-3-030-93436-1
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Préface
Chapter. 1
Introduction à la mécanique quantique : l’atome d’hydrogène
Chapter. 2
Auto-adjonction
Chapter. 3
Critères d’auto-adjonction : Rellich, Kato & Friedrichs
Chapter. 4
Théorème spectral et calcul fonctionnel
Chapter. 5
Spectre des opérateurs auto-adjoints
Chapter. 6
Systèmes à N particules, atomes, molécules
Chapter. 7
Opérateurs de Schrödinger périodiques et propriétés électroniques des matériaux
Préface
Chapter. 1
Introduction à la mécanique quantique : l’atome d’hydrogène
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10. Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II : General Boundary Conditions on Riemannian Manifolds. 1st ed. 2022
by Jérôme Le Rousseau, Gilles Lebeau, Luc Robbiano
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2022
シリーズ名: PNLDE Subseries in Control ; 98
オンライン: https://doi.org/10.1007/978-3-030-88670-7
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Introduction
Part 1: General Boundary Conditions
Lopatinskii-Sapiro Boundary Conditions
Fredholm Properties of Second-Order Elliptic Operators
Selfadjoint Operators under General Boundary Conditions
Part 2: Carleman Estimates on Riemannian Manifolds
Estimates on Riemannian Manifolds for Dirichlet Boundary Conditions
Pseudo-Differential Operators on a Half-Space
Sobolev Norms with a Large Parameter on a Manifold
Estimates for General Boundary Conditions
Part 3: Applications
Quantified Unique Continuation on a Riemannian Manifold
Stabilization of Waves under Neumann Boundary Damping
Spectral Inequality for General Boundary Conditions and Applications
Part 4: Further Aspects of Carleman Estimates
Carleman Estimates with Source Terms of Weaker Regularity
Optimal Estimates at the Boundary
Background Material: Geometry
Elements of Differential Geometry
Integration and Differential Operators on Manifolds
Elements of Riemannian Geometry
Sobolev Spaces and Laplace Problems on a Riemannian Manifold
Bibliography
Index
Index of Notation
Introduction
Part 1: General Boundary Conditions
Lopatinskii-Sapiro Boundary Conditions