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Global solutions via partial information and the Cahn-Hilliard equation

100%

Cholewa J. W., Dłotko T.

Banach Center Publications

1996

tom 33

nr 1

39-50

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.

Abstract parabolic problem with non-Lipschitz nonlinearity

100%

Cholewa J. W., Dlotko T.

Banach Center Publications

2000

tom 52

nr 1

73-81

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.

Ograniczanie wyników

2 Banach Center Publications

2 Cholewa J. W.

1 Dlotko T.

1 Dłotko T.

1 2000

1 1996

Wyniki wyszukiwania

Global solutions via partial information and the Cahn-Hilliard equation

Abstract parabolic problem with non-Lipschitz nonlinearity