Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations
We will investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equation: ∂u/∂t=ℒu+V(w)up−1 in Ω×(0,T), 1<p<2, u(w,0)=u0(w)≥0 in Ω, u(w,t)=0 on ∂Ω×(0,T) where ℒ is the subelliptic p-Laplacian and V∈Lloc1(Ω).
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.607 |