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ArticleOriginal scientific text

Title

Global solutions via partial information and the Cahn-Hilliard equation

Authors 1, 1

Affiliations

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

Abstract

Global solutions of semilinear parabolic equations are studied in the case when some weak a priori estimate for solutions of the problem under consideration is already known. The focus is on the rapid growth of the nonlinear term for which existence of the semigroup and certain dynamic properties of the considered system can be justified. Examples including the famous Cahn-Hilliard equation are finally discussed.

Keywords

ENG
a priori estimates, Cahn-Hilliard equation, global existence, compact semigroups, higher order parabolic equations

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Banach Center Publications
1996/33/1
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Pages:
39-50
Main language of publication
English
Published
1996
Exact and natural sciences