Displaying similar documents to “A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures.”

Global solutions via partial information and the Cahn-Hilliard equation

Jan Cholewa, Tomasz Dłotko (1996)

Banach Center Publications

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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.