Singular integral inequalities and stability of semilinear parabolic equations

Milan Medveď

Archivum Mathematicum (1998)

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

Abstract

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

How to cite

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Medveď, 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

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

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