Brownian motion with killing and reflection and the "hot--spots" problem
Probability
2007-05-23 v1 Analysis of PDEs
Abstract
We investigate the "hot--spots" property for the survival time probability of Brownian motion with killing and reflection in planar convex domains whose boundary consists of two curves, one of which is an arc of a circle, intersecting at acute angles. This leads to the "hot--spots" property for the mixed Dirichlet--Neumann eigenvalue problem in the domain with Neumann conditions on one of the curves and Dirichlet conditions on the other
Keywords
Cite
@article{arxiv.math/0407297,
title = {Brownian motion with killing and reflection and the "hot--spots" problem},
author = {Rodrigo Banuelos and Michael Pang and Mihai Pascu},
journal= {arXiv preprint arXiv:math/0407297},
year = {2007}
}