Quebec Mathematical Sciences Colloquium

April 4, 2008 from 16:00 to 18:00 (Montreal/Miami time) On location

Unsolved mysteries of solutions to PDEs near the boundary

Colloquium presented by Vladimir Maz'ya (Ohio State University, University of Liverpool, and Linkšping University)

Throughout its long history, specialists in the theory of partial differential equations gained a deep insight into the boundary behavior of solutions.Yet despite the apparent progress in this area achieved during the last century, there are fundamental unsolved problems and surprising paradoxes related to solvability, spectral, and asymptotic properties of boundary value problems in domains with irregular boundaries. I shall formulate some challenging questions arising naturally when one deals with unrestricted, polyhedral, Lipschitz graph, fractal and convex domains.


UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., room SH-3420