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A remark on the probabilistic solution of the Dirichlet problem for simply connected domains in the plane

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Publication:1754675
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DOI10.1016/j.jmaa.2018.04.045zbMath1394.31002OpenAlexW2801160995MaRDI QIDQ1754675

Greg Markowsky

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.045


zbMATH Keywords

Dirichlet problemplanar Brownian motionsimply connected domains in the plane


Mathematics Subject Classification ID

Brownian motion (60J65) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)


Related Items (4)

New criteria for minimal thinness and rarefiedness associated with cylindrical Schrödinger operator and their geometrical properties ⋮ On the finiteness of moments of the exit time of planar Brownian motion from comb domains ⋮ On the continuity of half-plane capacity with respect to Carathéodory convergence ⋮ A new application of Schrödinger-type identity to singular boundary value problem for the Schrödinger equation



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