| Title:
|
$C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions (English) |
| Author:
|
Kmit, I. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
52 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
507-517 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a class of Nemytskii superposition operators that covers the nonlinear part of traveling wave models from laser dynamics, population dynamics, and chemical kinetics. Our main result is the $C^1$-continuity property of these operators over Sobolev-type spaces of periodic functions. (English) |
| Keyword:
|
Nemytskii operators |
| Keyword:
|
Sobolev-type spaces of periodic functions |
| Keyword:
|
$C^1$-smoothness |
| MSC:
|
46E30 |
| MSC:
|
47H99 |
| idZBL:
|
Zbl 1247.47044 |
| idMR:
|
MR2863995 |
| . |
| Date available:
|
2012-05-01T01:50:09Z |
| Last updated:
|
2015-02-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142802 |
| . |
| Reference:
|
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