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ArticleOriginal scientific text

Title

Abstract parabolic problem with non-Lipschitz nonlinearity

Authors 1, 1

Affiliations

  1. Institute of Mathematics, Silesian University , Bankowa 14, 40-007 Katowice, Poland

Abstract

An abstract parabolic equation with sectorial operator and continuous nonlinearity is studied in this paper. In particular, the asymptotic behavior of solutions is described within the framework of the theory of global attractors. Examples included in the final part of the paper illustrate the presented ideas.

Keywords

ENG
dissipative semigroup, parabolic system, Cauchy problem, global attractor, global solution

Bibliography

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Banach Center Publications
2000/52/1
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Pages:
73-81
Main language of publication
English
Published
2000
Exact and natural sciences