Artículo
On the regularity for the Laplace equation and the Stokes system
Autor/es | Amrouche, Chérif
Rodríguez Bellido, María Ángeles |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2012 |
Fecha de depósito | 2016-04-22 |
Publicado en |
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Resumen | The purpose of this work is to show a broad framework in which the theory of very weak solutions for the Dirichlet stationary problem for the Laplace and Stokes equations in bounded domains of Rn, n ≥ 2, could be developed. ... The purpose of this work is to show a broad framework in which the theory of very weak solutions for the Dirichlet stationary problem for the Laplace and Stokes equations in bounded domains of Rn, n ≥ 2, could be developed. Broad in the sense of giving the more general spaces in which data can be taken in order to obtain a very weak solution and define properly the trace of such solution. Density arguments and a functional framework will be necessary, as well as classical regularity results in the Lp-Sobolev spaces that will be generalized here. |
Cita | Amrouche, C. y Rodríguez Bellido, M.Á. (2012). On the regularity for the Laplace equation and the Stokes system. Monografías de la Real Academia de Ciencias de Zaragoza 38, 38, 1-20. |
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