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Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry
Abstract
We find existence of a nonnegative compactly supported solution of the problem ?u=u? in ?N+, ?u/??=u on ??N+. Moreover, we prove that every nonnegative solution with finite energy is compactly supported and radially symmetric in the tangential variables. © 2004 Elsevier Inc. All rights reserved.
Más información
| Título según WOS: | Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry |
| Título según SCOPUS: | Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: Existence and symmetry |
| Título de la Revista: | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| Volumen: | 296 |
| Número: | 2 |
| Editorial: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Fecha de publicación: | 2004 |
| Página de inicio: | 634 |
| Página final: | 649 |
| Idioma: | English |
| URL: | http://linkinghub.elsevier.com/retrieve/pii/S0022247X04003397 |
| DOI: |
10.1016/j.jmaa.2004.04.031 |
| Notas: | ISI, SCOPUS |