A Payne-Weinberger eigenvalue estimate for wedge domains on spheres
Analysis of PDEs
2010-06-14 v1
Abstract
A Faber-Krahn type argument gives a sharp lower estimate for the first Dirichlet eigenvalue for subdomains of wedge domains in spheres, generalizing the inequality in the plane, found by Payne and Weinberger. An application is an alternative proof to the finiteness of a Brownian motion capture time estimate.
Cite
@article{arxiv.0803.3354,
title = {A Payne-Weinberger eigenvalue estimate for wedge domains on spheres},
author = {Jesse Ratzkin and Andrejs Treibergs},
journal= {arXiv preprint arXiv:0803.3354},
year = {2010}
}
Comments
10 pages