On the regularity for the Laplace equation and the Stokes system
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Autores: Chérif Amrouche
, María Angeles Rodríguez Bellido
- Localización: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 1132-6360, Nº. 38, 2012 (Ejemplar dedicado a: Monique Madaune-Tort), págs. 1-20
- Idioma: inglés
- Enlaces
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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. 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.
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