Publicação
Boundedness for some Doubly Nonlinear Parabolic Equations in Measure Spaces
| Resumo: | In the context of measure spaces equipped with a doubling non-trivial Borel measure supporting a Poincaré inequality, we derive local and global sup bounds of the nonnegative weak subsolutions of (u^q)t −∇·(|∇u|^{p−2} ∇u)=0, in Uτ =U×(τ1,τ2], p>1, q>1 and of its associated Dirichlet problem, respectively. |
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| Autores principais: | Laleoglu, Rojbin |
| Outros Autores: | Henriques, Eurica |
| Assunto: | Boundedness · Singular PDE · Degenerate PDE |
| Ano: | 2017 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade de Trás-os-Montes e Alto Douro |
| Idioma: | inglês |
| Origem: | Repositório da UTAD |
| Resumo: | In the context of measure spaces equipped with a doubling non-trivial Borel measure supporting a Poincaré inequality, we derive local and global sup bounds of the nonnegative weak subsolutions of (u^q)t −∇·(|∇u|^{p−2} ∇u)=0, in Uτ =U×(τ1,τ2], p>1, q>1 and of its associated Dirichlet problem, respectively. |
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