English

A note on a stochastic approach to Caffarelli-Silvestre Theorem

Probability 2023-10-03 v1 Analysis of PDEs

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.

Cite

@article{arxiv.2310.01070,
  title  = {A note on a stochastic approach to Caffarelli-Silvestre Theorem},
  author = {Michelangelo Cavina},
  journal= {arXiv preprint arXiv:2310.01070},
  year   = {2023}
}

Comments

8 pages

R2 v1 2026-06-28T12:38:07.101Z