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Existence and Uniqueness of Weak Solutions fora Class of CahnHilliard Equations

CHAI Shimin, YIN Yunguang, GONG Chengchun, YIN Li   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2007-11-20 Revised:1900-01-01 Online:2008-05-26 Published:2008-05-26
  • Contact: GONG Chengchun

Abstract: A class of the CahnHilliard equations with nonconstant mobility was studied. With the aid of Nirenberg’sinequality, some priori estimates are presented in the case of the mobility is m(x,t). Then the existence and uniqueness of the weak solutions are given by means of LeraySchauder fixed point theorem.

Key words: CahnHilliard equation, Nirenberg inequality, Leray Schauder fixed point theorem

CLC Number: 

  • O175.29