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 |
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doaj-ee4ac43205e74135b5acaf3c372abb712020-11-24T22:42:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092005-01-012005660761710.1155/AAA.2005.607Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equationsIsmail Kombe0Mathematics Department, Dawson-Loeffer Science and Mathematics Building, Oklahoma City University, 2501 North Blackwelder, Oklahoma City 73106-1493, OK, USAWe 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).http://dx.doi.org/10.1155/AAA.2005.607 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ismail Kombe |
| spellingShingle |
Ismail Kombe Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations Abstract and Applied Analysis |
| author_facet |
Ismail Kombe |
| author_sort |
Ismail Kombe |
| title |
Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations |
| title_short |
Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations |
| title_full |
Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations |
| title_fullStr |
Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations |
| title_full_unstemmed |
Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations |
| title_sort |
cauchy-dirichlet problem for the nonlinear degenerate parabolic equations |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2005-01-01 |
| description |
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). |
| url |
http://dx.doi.org/10.1155/AAA.2005.607 |
| work_keys_str_mv |
AT ismailkombe cauchydirichletproblemforthenonlineardegenerateparabolicequations |
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1725697884351889408 |