Mathematics – Probability
Scientific paper
2004-07-16
Probab. Theory Relat. Fields 130, 56-68 (2004)
Mathematics
Probability
Scientific paper
10.1007/s00440-003-0323-x
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
Bañuelos Rodrigo
Pang Michael
Pascu Mihai
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