Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term
In this paper we study the blow-up problem for a non-local diffusion equation with a reaction term, ut (x, t) = ∫Ω J (x - y) (u (y, t) - u (x, t)) d y + up (x, t) . We prove that non-negative and non-trivial solutions blow up in finite time if and only if p > 1. Moreover, we find that the blo...
Guardado en:
| Autor principal: | Rossi, Julio Daniel |
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| Publicado: |
2009
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| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v70_n4_p1629_PerezLlanos http://hdl.handle.net/20.500.12110/paper_0362546X_v70_n4_p1629_PerezLlanos |
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