| Title:
|
A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity (English) |
| Author:
|
Kim, Wan Se |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
425-431 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated. (English) |
| Keyword:
|
periodic-Dirichlet problem |
| Keyword:
|
semilinear heat equation |
| Keyword:
|
superlinear growth |
| MSC:
|
35B10 |
| MSC:
|
35K05 |
| MSC:
|
35K20 |
| MSC:
|
35K55 |
| MSC:
|
35K60 |
| MSC:
|
47F05 |
| idZBL:
|
Zbl 0781.35033 |
| idMR:
|
MR1243074 |
| . |
| Date available:
|
2009-01-08T18:04:59Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118599 |
| . |
| Reference:
|
[1] Brezis H., Nirenberg L.: Characterization of the range of some nonlinear operators and application to boundary value problem.Ann. Scuola Norm Pisa (4) 5 (1978), 225-326. MR 0513090 |
| Reference:
|
[2] Fučík S.: Solvability of Nonlinear Equations and Boundary Value Problems.Pediel, Dordrecht, 1980. MR 0620638 |
| Reference:
|
[3] Nkashama M.N., Willem M.: Periodic solutions of the boundary value problem for the nonlinear heat equation.Bull. Austral. Math. Soc. 29 (1984), 99-110. Zbl 0555.35062, MR 0753565 |
| Reference:
|
[4] Sanchez L.: A note on periodic solutions of heat equation with a superlinear term.Nonlinear Functional Anal. and its Appl., S.P. Singh (ed.), D. Reidel Publ. Co., 1986. Zbl 0611.35046, MR 0852596 |
| Reference:
|
[5] Šťastnová, Fučík S.: Note to periodic solvability of the boundary value problem for nonlinear heat equation.Comment. Math. Univ. Carolinae 18 (1977), 735-740. MR 0499739 |
| Reference:
|
[6] Vejvoda O. and al.: Partial Differential Equations, Time Periodic Solutions.Sijthoff Noordhoff, 1981. |
| . |
