【摘要】 讨论一类具有非定常系数迁移率的Cahn-Hilliard方程.针对迁移率为m(x,t)的情形,通过引入Nirenberg不等式给出了解的有界性先验估计,并应用Leray-Schauder不动点定理证明了此类Cahn-Hilliard方程弱解的存在惟一性.更多还原

【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.更多还原