| Título: | On the growth of the interfaces of a nonlinear degenerate parabolic equation |
| Autores: | Herrero, Miguel A. |
| Tipo de documento: | texto impreso |
| Editorial: | Pitman, 1983 |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Ecuaciones diferenciales , Tipo = Sección de libro |
| Resumen: |
The author deals with the propagation of the support of the initial function in the following problem: ut?(um)xx+cun=0 on R×(0,+?), u(x,0)=u0(x) on R with n?m>1, c>0; u0 is bounded and has bounded support, and u0?0. The author proves the following result: If u is a generalized solution to the above problem and ?(t)=sup{x?R: u(t,x)>0} then for n=m, ?(t)??(2)+Alnt; and for m |
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