Differential equations and mathematical physics : proceedings of the international conference held at the University of Alabama at Birmingham, March 15-21, 1990

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. 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 S 2 with Prescribed Scalar Curvature Original Research Article Pages 347-365 Kuo-Shung Cheng, Joel A. Smoller Featuring plenary lectures on topics at the forefront of current research, this volume focuses 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. Differential equations and mathematical physics : proceedings of the international conference held at the University of Alabama at Birmingham, March 15-21, 1990