Geodesic
Singular integral inequalities and stability of semilinear parabolic equations
Archivum mathematicum, Tome 34 (1998) no. 1, pp. 183-190
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.
Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.
Classification : 34D05, 34G10, 34G20, 35B35, 35K55, 45G10
Keywords: Integral inequality; parabolic equation; stability 
@article{ARM_1998_34_1_a16,
     author = {Medve\v{d}, Milan},
     title = {Singular integral inequalities and stability of semilinear parabolic equations},
     journal = {Archivum mathematicum},
     pages = {183--190},
     year = {1998},
     volume = {34},
     number = {1},
     mrnumber = {1629697},
     zbl = {0915.34057},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998_34_1_a16/}
}
TY  - JOUR
AU  - Medveď, Milan
TI  - Singular integral inequalities and stability of semilinear parabolic equations
JO  - Archivum mathematicum
PY  - 1998
SP  - 183
EP  - 190
VL  - 34
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ARM_1998_34_1_a16/
LA  - en
ID  - ARM_1998_34_1_a16
ER  - 
%0 Journal Article
%A Medveď, Milan
%T Singular integral inequalities and stability of semilinear parabolic equations
%J Archivum mathematicum
%D 1998
%P 183-190
%V 34
%N 1
%U http://geodesic.mathdoc.fr/item/ARM_1998_34_1_a16/
%G en
%F ARM_1998_34_1_a16
Medveď, Milan. Singular integral inequalities and stability of semilinear parabolic equations. Archivum mathematicum, Tome 34 (1998) no. 1, pp. 183-190. http://geodesic.mathdoc.fr/item/ARM_1998_34_1_a16/

[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

[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 | MR | Zbl

[3] J. K. Hale: Asymptotic Behavior of Dissipative Systems. Mathematical Surveys and Monographs, Vol. 25, AMS, Providence, 1988 | MR | Zbl

[4] D. Henry: Geometric Theory of Semilinear Parabolic Equations. Springer-Verlag, Berlin, Heidelberg, New York, 1981 | MR | Zbl

[5] A. A. Martyniuk, R. Gutowski: Integral Inequalities and Stability of Motion. Naukova Dumka, Kiev, 1979 (in Russian) | MR

[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 | MR | Zbl

[7] M. Miklavčič: Stability for semilinear equations with noninvertible linear operator. Pacific J. Math. 1 (118) (1985), 199–214 | MR