Bounds For Eigenfunctions Of The Laplacian On Noncompact Riemannian Manifolds

Thursday 14 March 2013
2:00 pm - 3:00 pm
Event type Seminar
Location John Crank - Room 128
Speaker: Professor Vladimir Maz'ya, Linköping University, Sweden

Abstract

We deal with eigenvalue problems for the Laplacian on noncompact Riemannian manifolds M of finite volume. Sharp conditions ensuring Lq(M) and L∞(M) bounds for eigenfunctions are exhibited in terms of either the isoperimetric function or the isocapacitary function of M. This is a joint paper with Andrea Cianchi (Florence)

Page last updated: Thursday 14 February 2013