Differential Equations and Mathematical Physics

✍ Scribed by Christer Bennewitz (Eds.)

• Publisher: Academic Press
• Year: 1992
• Tongue: English
• Leaves: 399
• Series: Mathematics in Science and Engineering 186
• Category: Library

✦ Synopsis

This volume is representative of the lectures given at the International Conference on Differential Equations and Mathematical Physics, held at the University of Alabama at Birmingham on March 15-21 1990. It features plenary lectures on topics at the frontier of present day research, focusing on recent developments in the theory of ordinary and partial differential equations, both linear and non-linear, with particular reference to the problems of mathematical physics. Other topics include control theory, scattering theory, and microlocal analysis.

✦ Table of Contents

Content:
Edited by
Page iii

Copyright page
Page iv

Speakers
Pages vii-xxiii

Contributors
Pages xxv-xxvii

Preface
Pages xxix-xxx
Christer Bennewitz

Slow Motion Manifolds For A Class of Singular Perturbation Problems: The Linearized Equations Original Research Article
Pages 1-24
N.D. Alikakos, P.W. Bates, G. Fusco

The Fermi-Amaldi Correction in Spin Polarized Thomas-Fermi Theory Original Research Article
Pages 25-37
Philippe Bénilan, Jerome A. Goldstein, Gisèle Ruiz Rieder

The Accuracy of Numerically Computed Orbits of Dynamical Systems in R_k Original Research Article
Pages 39-44
Shui-Nee Chow, Kenneth J. Palmer

Inverse Scattering on the Line—an Overview Original Research Article
Pages 45-62
Percy Deift

Partial Differential Equations on Thin Domains Original Research Article
Pages 63-97
J.K. Hale, G. Raugel

Solutions of Porous Medium Type Systems Original Research Article
Pages 99-120
Willi Jäger, Jozef Kačur

Invariant Manifolds for Ordinary Differential Equations Original Research Article
Pages 121-149
H.W. Knobloch

Spectral and Fractal Geometry: From the Weyl-Berry Conjecture for the Vibrations of Fractal Drums to the Riemann Zeta-Function Original Research Article
Pages 151-181
Michel L. Lapidus

The (Non) Continuity of Symmetric Decreasing Rearrangement Original Research Article
Pages 183-200
Frederick J. Almgren Jr., Elliott H. Lieb

Aspects of Boundary Control Theory Original Research Article
Pages 201-215
Walter Littman

Generic Properties of Nonlinear Boundary Value Problems Original Research Article
Pages 217-234
Jean Mawhin

Wiener-Hopf Factorization of the S Matrix Original Research Article
Pages 235-248
Roger G. Newton

Asymptotics for Solution Branches Of Semilinear Elliptic Problems At Resonance Original Research Article
Pages 249-262
Renate Schaaf, Klaus Schmitt

The Mountain Cliff Theorem Original Research Article
Pages 263-279
Martin Schechter

Universal Behavior of the Ground State of Large Atoms Original Research Article
Pages 281-293
Heinz Siedentop, Rudi Weikard

Density of states oscillations for magnetic Schrödinger operators Original Research Article
Pages 295-345
Johannes Sjöstrand

Conformal Metrics on S² with Prescribed Scalar Curvature Original Research Article
Pages 347-365
Kuo-Shung Cheng, Joel A. Smoller

✦ Subjects

Математика;Математическая физика;