| Autor: |
V. Lair, Alan, E. Oxley, Mark |
| Zdroj: |
International Journal of Mathematics and Mathematical Sciences; 1996, Vol. 19 Issue: 1 |
| Abstrakt: |
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: |
Supplemental Index |
| Externí odkaz: |
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