Boundary fluxes for nonlocal diffusion

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Cortazar, C., Elgueta, M., Rossi, J.D., Wolanski, N.
Formato: Artículo publishedVersion
Publicado: 2007
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00220396_v234_n2_p360_Cortazar
Aporte de:Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires Ver origen
Descripción
Sumario: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. © 2006 Elsevier Inc. All rights reserved.