In this volume in the "Mathematics in Science and Engineering" series, 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, semiclassi
Differential Equations with Applications to Mathematical Physics
✍ Scribed by W.F. Ames, E.M. Harrell and J.V. Herod (Eds.)
- Publisher
- Academic Press
- Year
- 1993
- Tongue
- English
- Leaves
- 363
- Series
- Mathematics in Science and Engineering 192
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
In this volume in the "Mathematics in Science and Engineering" series, 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, spectral and scattering theory, and symmetry analysis. This book should be of interest to researchers in nonlinear mathematics, partial differential equations and mathematical physics.
✦ Table of Contents
Content:
Edited by
Page iii
Copyright page
Page iv
Preface
Page ix
W.F. Ames, E.M. Harrell II, J.V. Herod
An Elementary Model of Dynamical Tunneling Original Research Article
Pages 1-11
J. Asch, P. Duclos
Discrete Schrödinger Operators with Potentials Generated by Substitutions Original Research Article
Pages 13-23
Jean Bellissard, Anton Bovier, Jean-Michel Ghez
Wave Packets Localized on Closed Classical Trajectories Original Research Article
Pages 25-32
S. De Bièvre, J.C. Houard, M. Irac-Astaud
Lower Bounds on Eigenfunctions and the First Eigenvalue Gap Original Research Article
Pages 33-49
R.M. Brown, P.D. Hislopt, A. Martinez
Nonlinear Volterra Integral Equations and the Apéry Identities Original Research Article
Pages 51-58
P.J. Bushell, W. Okrasiński
Connections Between Quantum Dynamics and Spectral Properties of Time-Evolution Operators Original Research Article
Pages 59-68
Jean-Michel Combes
Quasilinear Reaction Diffusion Models For Exothermic Reaction Original Research Article
Pages 69-78
W.E. Fitzgibbon, C.B. Martin
A Maximum Principle for Linear Cooperative Elliptic Systems Original Research Article
Pages 79-86
J. Fleckinger, J. Hernandez, F. de Thélin
Exact Solutions to Flows in Fluid Filled Elastic Tubes Original Research Article
Pages 87-99
D. Fusco, N. Manganaro
Spectral Deformations and Soliton Equations Original Research Article
Pages 101-139
F. Gesztesy, R. Weikard
Nuclear Cusps, Magnetic Fields and the Lavrentiev Phenomenon In Thomas-Fermi Theory Original Research Article
Pages 141-151
Gisèle Ruiz Goldstein, Jerome A. Goldstein, Chien-an Lung
On Schrödinger Equation in Large Dimension and Connected Problems in Statistical Mechanics Original Research Article
Pages 153-166
Bernard Helffer
Regularity of Solutions for Singular Schrödinger Equations Original Research Article
Pages 167-176
Andreas M. Hinz
Linearization of Ordinary Differential Equations Original Research Article
Pages 177-188
Nail H. Ibragimov
Expansion of Continuous Spectrum Operators in Terms of Eigenprojections Original Research Article
Pages 189-199
Robert M. Kauffman
On Unique Continuation Theorem for Uniformly Elliptic Equations with Strongly Singular Potentials Original Research Article
Pages 201-211
Kazuhiro Kurata
Topics in the Spectral Methods in Numerical Computation—Product Formulas Original Research Article
Pages 213-219
S.T. Kuroda
Atoms in the Magnetic Field of a Neutron Star Original Research Article
Pages 221-237
Elliott H. Lieb, Jan Philip Solovej
Algebraic Riccati Equations Arising in Game Theory and in H∞-Control Problems for a Class of Abstract Systems Original Research Article
Pages 239-247
C. McMillan, R. Triggiani
Symmetries and Symbolic Computation Original Research Article
Pages 249-260
M.C. Nucci
On Stabilizing Ill—Posed Cauchy Problems for the Navier—Stokes Equations Original Research Article
Pages 261-271
L.E. Payne
Evans' Function, Melnikov's Integral, and Solitary Wave Instabilities Original Research Article
Pages 273-286
Robert L. Pego, Michael I. Weinstein
Ground States of Degenerate Quasilinear Equations Original Research Article
Pages 287-305
James Serrin, Hengliui Zou
Gradient Estimates, Rearrangements and Symmetries Original Research Article
Pages 307-312
Giorgio Talenti
Purely Nonlinear Norm Spectra and Multidimensional Solitary Waves Original Research Article
Pages 313-323
Henry A. Warchall
On Gelfand-Dickey Systems and Inelastic Solitons Original Research Article
Pages 325-333
Rudi Weikard
Inertial Manifolds and Stabilization in Nonlinear Elastic Systems with Structural Damping Original Research Article
Pages 335-346
Yuncheng You
Index
Pages 347-352
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