Boundary fluxes for nonlocal diffusion
link https://doi.org/10.1016/j.jde.2006.12.002account_box Cortazar, Carmenaccount_box Elgueta, Manuelaccount_box Rossi, Julio D.account_box Wolanski, Noemi
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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. (c) 2006 Elsevier Inc. All rights reserved.
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| Autor | Cortazar, Carmen Elgueta, Manuel Rossi, Julio D. Wolanski, Noemi |
| Título | Boundary fluxes for nonlocal diffusion |
| Revista | JOURNAL OF DIFFERENTIAL EQUATIONS |
| ISSN | 0022-0396 |
| Volumen | 234 |
| Número de publicación | 2 |
| Página inicio | 360 |
| Página final | 390 |
| Fecha de publicación | 2007 |
| Resumen | 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. (c) 2006 Elsevier Inc. All rights reserved. |
| Derechos | acceso abierto |
| DOI | 10.1016/j.jde.2006.12.002 |
| Editorial | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Enlace | |
| Id de publicación en WoS | WOS:000245182700002 |
| Paginación | 31 páginas |
| Palabra clave | nonlocal diffusion boundary value problems CAHN-HILLIARD EQUATION CONVOLUTION MODEL PHASE-TRANSITIONS BLOW-UP |
| Tema ODS | 03 Good Health and Well-being |
| Tema ODS español | 03 Salud y bienestar |
| Tipo de documento | artículo |