| Title:
|
Boundary layer for Chaffee-Infante type equation (English) |
| Author:
|
Temam, Roger |
| Author:
|
Wang, Xiaoming |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
217-226 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary. (English) |
| Keyword:
|
Boundary layers |
| Keyword:
|
correctors |
| Keyword:
|
nonlinear reaction diffusion equations |
| Keyword:
|
chaffee-infante equation |
| MSC:
|
35B10 |
| MSC:
|
35B25 |
| MSC:
|
35B40 |
| MSC:
|
35C20 |
| MSC:
|
35K57 |
| MSC:
|
76D10 |
| idZBL:
|
Zbl 0911.35012 |
| idMR:
|
MR1629713 |
| . |
| Date available:
|
2009-02-17T10:11:22Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107647 |
| . |
| Reference:
|
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