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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/761| An Abstract Theory of Distributions and Sobolev Spaces | |
| JOSE ANGEL CANAVATI AYUB | |
| Acceso Abierto | |
| Atribución-NoComercial | |
| Espacios de Sobolev | |
| As is well knOim, both, Schwartz theory of distributions [ 13], and the theory of Sobolev spaces (Adams [1], Necas [10], Sobolev [15]), are concerned with the family of differential operators In these theories, one of the fundamental problems is to extend such operators in a suitable way, being them originally densely defined in a Frechet space X, which is usually taken as L~ac(Q) or Lp(Q), 1 ~ p < oo, where Q is an open subset of ~n. The solution to this question is based on the equality. Using this as a starting point, Schwartz introduces a topology in the 00 space of test functions 'l! = C (Q) and "extends" the operators using the idea of duality, that is, as continuous linear functions on 'll. | |
| Centro de Investigación en Matemáticas | |
| 10-06-1988 | |
| Reporte | |
| Inglés | |
| Investigadores | |
| OTRAS | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Reportes Técnicos - Matemáticas |
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| Fichero | Tamaño | Formato | |
|---|---|---|---|
| I-88-06.pdf | 2.51 MB | Adobe PDF | Visualizar/Abrir |