On the Laplace equation with non-local dynamical boundary conditions
Probability
2024-12-09 v1 Analysis of PDEs
Abstract
Aim of the paper is to study non-local dynamic boundary conditions of reactive-diffusive type for the Laplace equation from analytic and probabilistic point of view. In particular, we provide compact and probabilistic representation of the solution together with an interpretation in term of boundary processes.
Keywords
Cite
@article{arxiv.2412.04973,
title = {On the Laplace equation with non-local dynamical boundary conditions},
author = {Raffaela Capitanelli and Mirko D'Ovidio},
journal= {arXiv preprint arXiv:2412.04973},
year = {2024}
}