Weighted a priori estimates for the solution of the Dirichlet problem in polygonal domains in R2
Let be a polygonal domain in R2 and let U be a weak solution of u = f in with Dirichlet boundary condition, where f 2 Lp !( ) and ! is a weight in Ap(R2), 1 < p < 1. We give some estimates of the Green function associated to this problem involving some functions of the distance to the vertices...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/8951 |
| Acceso en línea: | http://hdl.handle.net/11336/8951 |
| Access Level: | acceso abierto |
| Palabra clave: | Dirichlet Problem Green Weighted https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Let be a polygonal domain in R2 and let U be a weak solution of u = f in with Dirichlet boundary condition, where f 2 Lp !( ) and ! is a weight in Ap(R2), 1 < p < 1. We give some estimates of the Green function associated to this problem involving some functions of the distance to the vertices and the angles of . As a consequence, we can prove an a priori estimate for the solution u on the weighted Sobolev spaces W2;p ! ( ), 1 < p < 1. 1 I |
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