Boundary fluxes for non-local diffusion

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation. First, we prove existence, uniqueness and a comparison principle. Next, we study the behavior of solutions for some prescribed boundary data including blowing up ones. Finally, we look at a nonlinear flux boundary condition.

Keywords

Analysis of PDEs, 35K57, 35B40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/114127

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607057
 http://arxiv.org/abs/math/0607057

Collections

arXiv