Chipot, M; Guesmia, S (2009). On the asymptotic behavior of elliptic, anisotropic singular perturbations problems. Communications on Pure and Applied Analysis, 8(1):179-193.
In this paper, we consider anitropic singular perturbations of some elliptic boundary value problems. We study the asymptotic behavior as [\varepsilon \rightarrow 0] for the solution. Strong convergence in some Sobolev spaces is proved and the rate of convergence in cylindrical domains is given.
In this paper, we consider anitropic singular perturbations of some elliptic boundary value problems. We study the asymptotic behavior as [\varepsilon \rightarrow 0] for the solution. Strong convergence in some Sobolev spaces is proved and the rate of convergence in cylindrical domains is given.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | January 2009 |
| Deposited On: | 12 Nov 2009 13:18 |
| Last Modified: | 03 Dec 2023 02:43 |
| Publisher: | American Institute of Mathematical Sciences |
| ISSN: | 1534-0392 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.3934/cpaa.2009.8.179 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2449105 |
Chipot, M