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 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