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Differential Equations with Applications to Mathematical Physics

✍ Scribed by W.F. Ames, E.M. Harrell and J.V. Herod (Eds.)


Publisher
Academic Press Inc
Year
1993
Tongue
English
Leaves
363
Series
Mathematics in Science and Engineering 192
Category
Library

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✦ 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

✦ Subjects


Математика;Математическая физика;


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