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- W2080622564 abstract "This paper was motivated by the question of studying PDE or stochastic PDE taking values on nonsmooth spaces. This is a hard problem in general, so we concentrate on a test case: the heat equation taking values on the union of rays emanating from the origin. We construct a series of discrete approximation to the solution and show that they converge to a limit. Unfortunately, we do not know if the limit is uniqueness. Our tools are probabilistic, exploiting the well-known connection between Brownian motion and the heat equation." @default.
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- W2080622564 date "2008-11-18" @default.
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- W2080622564 title "On the discrete heat equation taking values on a tree" @default.
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- W2080622564 doi "https://doi.org/10.1090/s0002-9939-08-09748-7" @default.
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