| Título: | Evolution of the solutions of some diffusion problems with absorption (Spanish: Evolución de las soluciones de ciertos problemas de difusión con absorción) |
| Autores: | Herrero, Miguel A. |
| Tipo de documento: | texto impreso |
| Editorial: | Universitat Autònoma de Barcelona, 1980 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Ecuaciones diferenciales , Tipo = Artículo |
| Resumen: |
This note is an account of results obtained by the author [Rev. Real Acad. Cienc. Exact. Fís. Natur. Madrid 75 (1981), no. 5, 1165–1183; MR0649591 (83m:35076)], and the author and J. L. Vázquez ["On a class of nonlinear parabolic equations'', to appear] about the property of compact support of solutions of the Cauchy problem ut=?(?/?xi)(|?u/?xi|p?2?u/?xi)+?(u) in RN×(0,T), 1 2, and ?10ds/?(s) when 1 0 the support of x?u(t,x) is compact (even if the initial datum is not compactly supported) and that the solution disappears in finite time, i.e., u(x,t)?0 if t>t0, where t0 is a positive number depending upon u0. |
| En línea: | https://eprints.ucm.es/id/eprint/22801/1/Herrero93.pdf |
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