Includes bibliographical references and index.

Print version record.

Contributors from North America, Europe and Japan present articles at the forefront of research in differential equational and mathematical physics. Topics covered include nonlinear differential and integral equations, semiclassical quantum mechanics and spectral and scattering theory.

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 ReactionChapter 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 EquationsChapter 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 H∞-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 EquationsChapter 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

Elsevier ScienceDirect All Books