| Title:
|
Singular integral inequalities and stability of semilinear parabolic equations (English) |
| Author:
|
Medveď, Milan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
183-190 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved. (English) |
| Keyword:
|
Integral inequality |
| Keyword:
|
parabolic equation |
| Keyword:
|
stability |
| MSC:
|
34D05 |
| MSC:
|
34G10 |
| MSC:
|
34G20 |
| MSC:
|
35B35 |
| MSC:
|
35K55 |
| MSC:
|
45G10 |
| idZBL:
|
Zbl 0915.34057 |
| idMR:
|
MR1629697 |
| . |
| Date available:
|
2009-02-17T10:11:04Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107643 |
| . |
| Reference:
|
[1] J. A. Bihari: A generalization of a lemma of Bellman and its applications to uniqueness problems of differential equations.Acta Math. Acad. Sci. Hungar. 7 (1965), 81–94 |
| Reference:
|
[2] G. Butler, T. Rogers: A generalization of a lemma of Bihari and applications to pointwise estimates for integral equations.J. Math. Anal. and Appl. 33, no 1 (1971), 77–81 Zbl 0209.42503, MR 0270089 |
| Reference:
|
[3] J. K. Hale: Asymptotic Behavior of Dissipative Systems.Mathematical Surveys and Monographs, Vol. 25, AMS, Providence, 1988 Zbl 0642.58013, MR 0941371 |
| Reference:
|
[4] D. Henry: Geometric Theory of Semilinear Parabolic Equations.Springer-Verlag, Berlin, Heidelberg, New York, 1981 Zbl 0456.35001, MR 0610244 |
| Reference:
|
[5] A. A. Martyniuk, R. Gutowski: Integral Inequalities and Stability of Motion.Naukova Dumka, Kiev, 1979 (in Russian) MR 0545148 |
| Reference:
|
[6] M. Medved’: A new approach to an analysis of Henry type integral inequalities and their Bihari type versions.J. Math. Anal. and Appl. 214 (1997), 349–366 Zbl 0893.26006, MR 1475574 |
| Reference:
|
[7] M. Miklavčič: Stability for semilinear equations with noninvertible linear operator.Pacific J. Math. 1 (118) (1985), 199–214 MR 0783024 |
| . |
