# Singular integral inequalities and stability of semilinear parabolic equations

Archivum Mathematicum (1998)

- Volume: 034, Issue: 1, page 183-190
- ISSN: 0044-8753

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topMedveď, Milan. "Singular integral inequalities and stability of semilinear parabolic equations." Archivum Mathematicum 034.1 (1998): 183-190. <http://eudml.org/doc/18526>.

@article{Medveď1998,

abstract = {Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.},

author = {Medveď, Milan},

journal = {Archivum Mathematicum},

keywords = {Integral inequality; parabolic equation; stability; integral inequality; parabolic equation; stability},

language = {eng},

number = {1},

pages = {183-190},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Singular integral inequalities and stability of semilinear parabolic equations},

url = {http://eudml.org/doc/18526},

volume = {034},

year = {1998},

}

TY - JOUR

AU - Medveď, Milan

TI - Singular integral inequalities and stability of semilinear parabolic equations

JO - Archivum Mathematicum

PY - 1998

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 034

IS - 1

SP - 183

EP - 190

AB - Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.

LA - eng

KW - Integral inequality; parabolic equation; stability; integral inequality; parabolic equation; stability

UR - http://eudml.org/doc/18526

ER -

## References

top- 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 (1965) Zbl0070.08201
- 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 (1971) Zbl0209.42503MR0270089
- J. K. Hale, Asymptotic Behavior of Dissipative Systems, Mathematical Surveys and Monographs, Vol. 25, AMS, Providence, 1988 (1988) Zbl0642.58013MR0941371
- D. Henry, Geometric Theory of Semilinear Parabolic Equations, Springer-Verlag, Berlin, Heidelberg, New York, 1981 (1981) Zbl0456.35001MR0610244
- A. A. Martyniuk, R. Gutowski, Integral Inequalities and Stability of Motion, Naukova Dumka, Kiev, 1979 (in Russian) (1979) MR0545148
- 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 (1997) Zbl0893.26006MR1475574
- M. Miklavčič, Stability for semilinear equations with noninvertible linear operator, Pacific J. Math. 1 (118) (1985), 199–214 (1985) Zbl0559.35037MR0783024

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