A Payne-Weinberger eigenvalue estimate for wedge domains on spheres

Ratzkin, Jesse; Treibergs, Andrejs

doi:10.1090/S0002-9939-09-09790-1

A Payne-Weinberger eigenvalue estimate for wedge domains on spheres
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by Jesse Ratzkin and Andrejs Treibergs PDF

Proc. Amer. Math. Soc. 137 (2009), 2299-2309 Request permission

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 for the plane, found by Payne and Weinberger. An application is an alternative proof to the finiteness of a Brownian motion capture-time estimate.

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