Differential equations and mathematical physics : proceedings of the international conference held at the University of Alabama at Birmingham, March 15-21, 1990
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書誌事項
Differential equations and mathematical physics : proceedings of the international conference held at the University of Alabama at Birmingham, March 15-21, 1990
（Mathematics in science and engineering : a series of monographs and textbooks, v. 186）
Academic Press, c1992
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注記
"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, during March 15-21, 1990"--Pref
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- Slow motion manifolds for a class of singular perturbation problems - the linearized equations
- the Fermi-Amaldi correction in spin polarized Thomas -Fermi theory
- the accuracy of numerically computed orbits of dynamical systems in Rk
- scattering on the line - an overview
- partial differential equations on thin domains
- solutions of porous medium type systems
- invariant manifolds for ordinary differential equations
- spectral and fractal geometry - from the Weyl-Berry conjecture for the vibrations of fractal drums to the Reimann zeta-function
- the (non) continuity of symmetric decreasing re-arrangement
- aspects of boundary control theory
- generic properties of nonlinear boundary value problems
- Wiener-Hopf factorization of the S matrix
- asymptotics for solution branches of semilinear elliptic problems at resonance
- the mountain cliff theorem
- universal behaviour of the ground state of large atoms
- density of states oscillations for magnetic Schroedinger operators
- conformal metrics on S2 with prescribed scalar curvature.
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