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E-raamat: 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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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.
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.