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Two Dimensional Cahn-Hilliard Equation with Concentration Dependent Mobility and Gradient Dependent Potential
Authors:HUANG RUI  YIN JING-XUE    WANG LIANG-WEI
Affiliation:HUANG RUI~1,YIN JING-XUE~1 AND WANG LIANG-WEI~2 (1.School of Mathematical Sciences,South China Normal University,Guangzhou,510631) (2.Institute of Mathematics,Jilin University,Changchun,130012)
Abstract:In this paper we consider the initial boundary value problem of Cahn-Hilliard equation with concentration dependent mobility and gradient dependent potential. By the L~P type estimates and the theory of Morrey spaces,we prove the Holder continuity of the solutions.Then we obtain the existence of global classical solutions.The present work can be viewed as an extension to the previous work on the Cahn-Hilliard equation with concentration dependent mobility and potential.
Keywords:Cahn-Hilliard equation  concentration dependent mobility  gradient dependent potential  
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