Abstract and Applied Analysis
Volume 2005 (2005), Issue 6, Pages 607-617
doi:10.1155/AAA.2005.607
Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations
Ismail Kombe
Mathematics Department, Dawson-Loeffer Science and Mathematics Building, Oklahoma City University, 2501 North Blackwelder, Oklahoma City 73106-1493, OK, USA
Abstract
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).