Article
On the regularity for the Laplace equation and the Stokes system
Author/s | Amrouche, Chérif
Rodríguez Bellido, María Ángeles |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2012 |
Deposit Date | 2016-04-22 |
Published in |
|
Abstract | 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. |
Citation | 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. |
Files | Size | Format | View | Description |
---|---|---|---|---|
On the regularity for the Laplace ... | 622.2Kb | [PDF] | View/ | |