On the Robin problem in fractal domains
Copyright policy )On the Robin problem in fractal domains
We study the solution to the Robin boundary problem for the Laplacian in a Euclidean domain. We present some families of fractal domains where the infimum of the solution is greater than 0, and some other families of domains were it is equal to 0. We also give a new result on `trap domains', i.e., domains where reflecting Brownian motion takes a long time to reach the center of the domain.
- University of Washington United States
- University of Connecticut United States
- Washington University in St. Louis United States
- University of Mary United States
- University of Washington, University libraries United States
Mathematics - Classical Analysis and ODEs, 35J25, Robin boundary problem, Probability (math.PR), Classical Analysis and ODEs (math.CA), FOS: Mathematics, Brownian motion, Trap domain, Mathematics - Probability
Mathematics - Classical Analysis and ODEs, 35J25, Robin boundary problem, Probability (math.PR), Classical Analysis and ODEs (math.CA), FOS: Mathematics, Brownian motion, Trap domain, Mathematics - Probability
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