Abstract and Applied Analysis

Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations

Ismail Kombe

Abstract

We will investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equation: $\partial u/\partial t=\mathcal{L}u+V(w)u^{p-1}$ in $\Omega \times (0, T)$, $1, $u(w,0)=u_{0}(w)\geq 0$ in $\Omega$, $u(w,t)=0$ on $\partial\Omega\times(0, T)$ where $\mathcal{L}$ is the subelliptic $p$-Laplacian and $V\in L_{loc}^1(\Omega)$.

Article information

Source
Abstr. Appl. Anal., Volume 2005, Number 6 (2005), 607-617.

Dates
First available in Project Euclid: 3 October 2005

https://projecteuclid.org/euclid.aaa/1128345941

Digital Object Identifier
doi:10.1155/AAA.2005.607

Mathematical Reviews number (MathSciNet)
MR2202951

Zentralblatt MATH identifier
1103.35053

Citation

Kombe, Ismail. Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations. Abstr. Appl. Anal. 2005 (2005), no. 6, 607--617. doi:10.1155/AAA.2005.607. https://projecteuclid.org/euclid.aaa/1128345941

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