ShowMe Analysis Meeting 2004 June 3-5, 2004 University of Missouri Columbia, Missouri

Rodrigo Banuelos (Purdue University)
New Applications of Multiple Integrals

Abstract: We will survey some recent applications of rearrangement inequalities for multiple integrals to generalized isoperimetric inequalities. These include inequalities for heat kernels, eigenfunctions, spectral gaps and exit times of Brownian motion and iterated Brownian motion from Euclidean domains.