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Article

Keywords:
Integral inequality; parabolic equation; stability
Summary:
Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.
References:
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[4] D. Henry: Geometric Theory of Semilinear Parabolic Equations. Springer-Verlag, Berlin, Heidelberg, New York, 1981 MR 0610244 | Zbl 0456.35001
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[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 1475574 | Zbl 0893.26006
[7] M. Miklavčič: Stability for semilinear equations with noninvertible linear operator. Pacific J. Math. 1 (118) (1985), 199–214 MR 0783024
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