Higher integrability for parabolic systems with non-standard growth and degenerate diffusions
The aim of this paper is to establish a Meyer's type higher integrability result for weak solutions of possibly degenerate parabolic systems of the type ∂t u│- div ɑ ( x, t, D u) = div (│F│p (x,t) - 2 F). The vector-field a is assumed to fulfill a non-standard p(x; t)- growth condition. In part...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:65205 |
| Acceso en línea: | https://ddd.uab.cat/record/65205 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_55111_10 |
| Access Level: | acceso abierto |
| Palabra clave: | Higher integrability Degenerate parabolic systems Non-standard growth Condition Parabolic p-Laplacean |
| Sumario: | The aim of this paper is to establish a Meyer's type higher integrability result for weak solutions of possibly degenerate parabolic systems of the type ∂t u│- div ɑ ( x, t, D u) = div (│F│p (x,t) - 2 F). The vector-field a is assumed to fulfill a non-standard p(x; t)- growth condition. In particular it is shown that there exists Є. |
|---|