Brownian motion with killing and reflection and the ``hot-spots problem

DOI10.1007/s00440-003-0323-xzbMath1064.60175arXivmath/0407297OpenAlexW2090567603MaRDI QIDQ706330

D. Kharzeev

Publication date: 8 February 2005

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407297

zbMATH Keywords

Brownian motionLaplace operatormixed Dirichlet-Neumann boundary conditionshot-spots problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Brownian motion (60J65) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (5)

A stochastic target approach to Ricci flow on surfaces ⋮ Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian ⋮ Improved upper bounds for the hot spots constant of Lipschitz domains ⋮ Maximizing the pth moment of the exit time of planar brownian motion from a given domain ⋮ Neumann Bessel heat kernel monotonicity

Cites Work

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• Rearrangements and convexity of level sets in PDE
• A counterexample to the ``hot spots conjecture
• On the ``hot spots conjecture of J. Rauch
• Fiber Brownian motion and the ``hot spots problem
• On nodal lines of Neumann eigenfunctions
• Scaling coupling of reflecting Brownian motions and the hot spots problem
• On Neumann eigenfunctions in lip domains
• The “hot spots” conjecture for domains with two axes of symmetry
• Closed Nodal Lines and Interior Hot Spots of the Second Eigenfunctions of the Laplacian on Surfaces
• An inequality for potentials and the 'hot-spots' conjecture
• Invariant wedges for a two-point reflecting Brownian motion and the ``hot spots problem

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