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- W2123284044 abstract "We use the path-valued process called the Brownian snake to investigate the trace at the boundary of nonnegative solutions of a semilinear parabolic partial differential equation. In particular, we characterize possible traces and in dimension one we prove that nonnegative solutions are in one-to-one correspondence with their traces at the origin. We also provide probabilistic representations for various classes of solutions. This article is dedicated to the memory of Roland L. Dobrushin." @default.
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- W2123284044 title "A probabilistic approach to the trace at the boundary for solutions of a semilinear parabolic partial differential equation" @default.
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- W2123284044 doi "https://doi.org/10.1155/s1048953396000354" @default.
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