학술논문

A note on a stochastic approach to Caffarelli-Silvestre Theorem
Document Type
Working Paper
Source
Subject
Mathematics - Probability
Mathematics - Analysis of PDEs
60H15, 35R11
Language
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.
Comment: 8 pages