Differential Equations with Applications to Mathematical Physics

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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