anisotropic nonlinear diffusion with absorption: existence and extinction
Clicks: 111
ID: 231382
1996
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Abstract
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.
| Reference Key |
lair1996internationalanisotropic
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|---|---|
| Authors | ;Alan V. Lair;Mark E. Oxley |
| Journal | structural engineering and mechanics |
| Year | 1996 |
| DOI |
10.1155/S0161171296000610
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| URL | |
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