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 |
| Published: |
Wiley
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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| _version_ | 1841524750735638528 |
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| author | Ismail Kombe |
| author_facet | Ismail Kombe |
| author_sort | Ismail Kombe |
| collection | DOAJ |
| 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). |
| format | Article |
| id | doaj-art-ee4ac43205e74135b5acaf3c372abb71 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ee4ac43205e74135b5acaf3c372abb712025-02-03T05:47:33ZengWileyAbstract 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 |
| spellingShingle | Ismail Kombe Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations Abstract and Applied Analysis |
| title | 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_short | Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations |
| title_sort | cauchy dirichlet problem for the nonlinear degenerate parabolic equations |
| url | http://dx.doi.org/10.1155/AAA.2005.607 |
| work_keys_str_mv | AT ismailkombe cauchydirichletproblemforthenonlineardegenerateparabolicequations |