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Abstract A new proof is given of a simple probabilistic lemma which implies the solution of the Dirichlet problem for simply connected domains in the plane. This proof uses the… Click to show full abstract
Abstract A new proof is given of a simple probabilistic lemma which implies the solution of the Dirichlet problem for simply connected domains in the plane. This proof uses the conformal invariance of planar Brownian motion in place of the previously existing measure-theoretic arguments.
Keywords:
dirichlet problem;
domains plane;
solution dirichlet;
connected domains;
problem simply;
simply connected
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
Link to full text (if available)
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recommendations!