Differential Equations With Applications to Mathematical Physics

by Ames, William F.; Harrell, Evans M., II; Herod, James V.

• ISBN13: 9780120567409
• ISBN10: 0120567407
• Format: Hardcover
• Copyright: 1993-02-01
• Publisher: Academic Pr

Table of Contents

Preface
An Elementary Model of Dynamical Tunneling	p. 1
Discrete Schrodinger Operators with Potentials Generated by Substitutions	p. 13
Wave Packets Localized on Closed Classical Trajectories	p. 25
Lower Bounds on Eigenfunctions and the First Eigenvalue Gap	p. 33
Nonlinear Volterra Integral Equations and The Apery Identities	p. 51
Connections Between Quantum Dynamics and Spectral Properties of Time-Evolution Operators	p. 59
Quasilinear Reaction Diffusion Models for Exothermic Reaction	p. 69
A Maximum Principle for Linear Cooperative Elliptic Systems	p. 79
Exact Solutions to Flows in Fluid Filled Elastic Tubes	p. 87
Spectral Deformations and Soliton Equations	p. 101
Nuclear Cusps, Magnetic Fields and the Lavrentiev Phenomenon in Thomas-Fermi Theory	p. 141
On Schrodinger Equation in Large Dimension and Connected Problems in Statistical Mechanics	p. 153
Regularity of Solutions for Singular Schrodinger Equations	p. 167
Linearization of Ordinary Differential Equations	p. 177
Expansion of Continuous Spectrum Operators in Terms of Eigenprojections	p. 189
On Unique Continuation Theorem for Uniformly Elliptic Equations with Strongly Singular Potentials	p. 201
Topics in the Spectral Methods in Numerical Computation - Product Formulas	p. 213
Atoms in the Magnetic Field of a Neutron Star	p. 221
Algebraic Riccati Equations Arising in Game Theory and in [actual symbol not reproducible]-Control Problems for a Class of Abstract Systems	p. 239
Symmetries and Symbolic Computation	p. 249
On Stabilizing Ill-Posed Cauchy Problems for the Navier-Stokes Equations	p. 261
Evans' Functions, Melnikov's Integral, and Solitary Wave Instabilities	p. 273
Ground States of Degenerate Quasilinear Equations	p. 287
Gradient Estimates, Rearrangements and Symmetries	p. 307
Purely Nonlinear Norm Spectra and Multidimensional Solitary Waves	p. 313
On Gelfand-Dickey Systems and Inelastic Solitons	p. 325
Inertial Manifolds and Stabilization in Nonlinear Elastic Systems with Structural Damping	p. 335
Index	p. 347
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