Differential Equations and Mathematical Physics

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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 Rk 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