| Título: | On the limit of solutions of ut=?um as m?? |
| Autores: | Bénilan, Philippe ; Boccardo, L. ; Herrero, Miguel A. |
| Tipo de documento: | texto impreso |
| Editorial: | Libreria Editrice Universitaria Levrotto & Bella, 1989 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Ecuaciones diferenciales , Tipo = Sección de libro |
| Resumen: | Let f?L1(RN), N?1, f?0, and consider the Cauchy problem ut=?um on ]0,?[×RN, u(0,?)=f on RN. The authors prove that as m??, the corresponding solutions um(t)?u_=f+?w in L1(RN), uniformly for t in a compact set in ]0,?[, where 0?w_?L1(Rn) is the solution of the variational inequality ?w_?L1(RN), 0?f+?w_?1, w_(f+?w_ ?1)=0 a.e. The authors also show similar results for the same equation on a bounded open set ? in RN with Dirichlet or Neumann boundary conditions |
| En línea: | https://eprints.ucm.es/id/eprint/22719/1/Herrero85.pdf |
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