St. Petersburg State University, St. Petersburg, Russia
Professor M. Birman is one of the creators of the contemporary scattering theory and spectral theory. His diverse interests and results include among others many topics of mathematical physics and differential equations, from quantum mechanics, to electromagnetics, to waveguide theory.
The following problems are considered: electromagnetic oscillations of a hollow resonator with ideally conducting boundary; the steady state Stokes equations under conditions of slippery walls; the problem of elasticity theory under the boundary condition of a rigid contact. Formally speaking, in polyhedral domains these three problems coincide. It is shown, however, that such a coincidence holds in a meaningful way only in convex polyhedra. Related effects are also discussed.
Please join us for refreshments before the lecture at 2:30p.m. in room 353 Jabara Hall.
[ Spring 2000]