A note on a stochastic approach to Caffarelli-Silvestre Theorem

Published 2 Oct 2023 in math.PR and math.AP | (2310.01070v1)

Abstract: In this note we analyze the Caffarelli-Silvestre extension function using tools from the theory of stochastic analysis applied to Dirichlet problems. We use a stochastic approach to give the explicit formulation of the kernel associated to the Dirichlet problem which defines the Cafferelli-Silvestre extension function.

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Michelangelo Cavina

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