
Differential Equations with Applications to Mathematical Physics
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Content
- Front Cover
- Differential Equations with Applications to Mathematical Physics
- Copyright Page
- Contents
- Preface
- Chapter 1. An Elementary Model of Dynamical Tunneling
- Chapter 2. Discrete Schrödinger Operators with Potentials Generated by Substitutions
- Chapter 3. Wave Packets Localized on Closed Classical Trajectories
- Chapter 4. Lower Bounds on Eigenfunctions and the First Eigenvalue Gap
- Chapter 5. Nonlinear Volterra Integral Equations and The Apéry Identities
- Chapter 6. Connections Between Quantum Dynamics and Spectral Properties of Time-Evolution Operators
- Chapter 7. Quasilinear Reaction Diffusion Models for Exothermic Reaction
- Chapter 8. A Maximum Principle for Linear Cooperative Elliptic Systems
- Chapter 9. Exact Solutions to Flows in Fluid Filled Elastic Tubes
- Chapter 10. Spectral Deformations and Soliton Equations
- Chapter 11. Nuclear Cusps, Magnetic Fields and the Lavrentiev Phenomenon in Thomas-Fermi Theory
- Chapter 12. On Schrödinger Equation in Large Dimension and Connected Problems in Statistical Mechanics
- Chapter 13. Regularity of Solutions for Singular Schrödinger Equations
- Chapter 14. Linearization of Ordinary Differential Equations
- Chapter 15. Expansion of Continuous Spectrum Operators in Terms of Eigenprojections
- Chapter 16. On Unique Continuation Theorem for Uniformly Elliptic Equations with Strongly Singular Potentials
- Chapter 17. Topics in the Spectral Methods in Numerical Computation - Product Formulas
- Chapter 18. Atoms in the Magnetic Field of a Neutron Star
- Chapter 19. Algebraic Riccati Equations Arising in Game Theory and in H8-Control Problems for a Class of Abstract Systems
- Chapter 20. Symmetries and Symbolic Computation
- Chapter 21. On Stabilizing Ill-Posed Cauchy Problems for the Navier-S tokes Equations
- Chapter 22. Evans' Functions, Melnikov's Integral, and Solitary Wave Instabilities
- Chapter 23. Ground States of Degenerate Quasilinear Equations
- Chapter 24. Gradient Estimates, Rearrangements and Symmetries
- Chapter 25. Purely Nonlinear Norm Spectra and Multidimensional Solitary Waves
- Chapter 26. On Gelfand-Dickey Systems and Inelastic Solitons
- Chapter 27. Inertial Manifolds and Stabilization in Nonlinear Elastic Systems with Structural Damping
- Index
- Mathematics in Science and Engineering
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