A Payne-Weinberger eigenvalue estimate for wedge domains on spheres

Details A Payne-Weinberger eigenvalue estimate for wedge domains on spheres A Payne-Weinberger eigenvalue estimate for wedge domains on spheres

2008-03-24

arxiv.org/abs/0803.3354v1

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

Mathematics

Analysis of PDEs

10 pages

Scientific paper

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.

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