Differential equations with applications to mathematical physics /

Differential equations with applications to mathematical physics /

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Bibliographic Details
Imprint:Boston : Academic Press, ©1993.
Description:1 online resource (ix, 350 pages) : illustrations
Language:English
Series:Mathematics in science and engineering ; v. 192
Mathematics in science and engineering ; v. 192.
Subject:
Differential equations.
Mathematical physics.
Differential equations.
Mathematical physics.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11285631
Hidden Bibliographic Details
Other authors / contributors:Ames, William F.
Harrell, Evans M.
Herod, J. V., 1937-
ISBN:9780080958774
008095877X
1282289160
9781282289161
9780120567409
0120567407
Notes:Includes bibliographical references and index.
Print version record.
Summary: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.
Other form:Print version: Differential equations with applications to mathematical physics. Boston : Academic Press, ©1993 9780120567409
Table of Contents:
  • 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.

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