Anisotropic nonlinear diffusion with absorption: existence and extinction
| Autor: | Alan V. Lair, Mark E. Oxley |
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| Jazyk: | angličtina |
| Rok vydání: | 1996 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 19, Iss 3, Pp 427-434 (1996) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 01611712 |
| DOI: | 10.1155/S0161171296000610 |
| Popis: | The authors prove that the nonlinear parabolic partial differential equation ∂u∂t=∑i,j=1n∂2∂xi∂xjφij(u)−f(u) with homogeneous Dirichlet boundary conditions and a nonnegative initial condition has a nonnegative generalized solution u. They also give necessary and sufficient conditions on the constitutive functions φij and f which ensure the existence of a time t0>0 for which u vanishes for all t≥t0. |
| Databáze: | Directory of Open Access Journals |
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