| Title:
|
A certain type of partial differential equations on tori (English) |
| Author:
|
Fečkan, Michal |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
365-372 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The existence of classical solutions for some partial differential equations on tori is shown. (English) |
| Keyword:
|
averaging |
| Keyword:
|
singularly perturbed equations on tori |
| Keyword:
|
Banach fixed point theorem |
| MSC:
|
34B15 |
| MSC:
|
35B10 |
| MSC:
|
35B25 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 0795.35004 |
| idMR:
|
MR1197286 |
| DOI:
|
10.21136/MB.1992.126061 |
| . |
| Date available:
|
2009-09-24T20:55:01Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126061 |
| . |
| Reference:
|
[1] A. C. Lazer P. J. McKenna: A symmetry theorem and applications to nonlinear differential equations.Journal of Diff. Equa. 72 (1988), 95-106. MR 0929199, 10.1016/0022-0396(88)90150-7 |
| Reference:
|
[2] T. Kato: Locally coercive nonlinear equations, with applications to some periodic solutions.Duke Math. Journal 51 (1984), 923-936. Zbl 0571.47051, MR 0771388 |
| Reference:
|
[3] J. Moser: A rapidly convergent iteration method and nonlinear partial differential equations, I.Ann. Scuola Norm. Sup. Pisa 20(1966), 226-315. |
| Reference:
|
[4] P. Rabinowitz: A rapid convergence method for a singular perturbation problem.Ann. Inst. H. Poincaré, Ana. Nonlinéaire 1 (1984), 1-17. Zbl 0547.35047, MR 0738493, 10.1016/S0294-1449(16)30431-0 |
| . |
