The Laplace' Quasi-operator in Quasi-Sobolev spaces
The quasi-Sobolev spaces notion introduced in the article is based on the quasinorms concept. Completeness of these spaces on the appropriate quasi-norms is proved and the continuous embedding of these spaces is shown in the work. Also Laplace’ and Green’s quasi-operators concepts are introduced; it...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2013-06-01
|
| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu1213 |
| Summary: | The quasi-Sobolev spaces notion introduced in the article is based on the quasinorms concept. Completeness of these spaces on the appropriate quasi-norms is proved and the continuous embedding of these spaces is shown in the work. Also Laplace’ and Green’s quasi-operators concepts are introduced; it is shown that these quasi-operators are toplinear isomorphisms. |
|---|---|
| ISSN: | 1991-8615 2310-7081 |