Global solutions via partial information and the Cahn-Hilliard equation
Volume 33 / 1996
Banach Center Publications 33 (1996), 39-50
DOI: 10.4064/-33-1-39-50
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.
