简并能级
卡恩-希利尔德方程
数学
有界函数
数学分析
抛物型偏微分方程
订单(交换)
数学物理
偏微分方程
物理
财务
经济
量子力学
作者
Charles M. Elliott,Harald Garcke
标识
DOI:10.1137/s0036141094267662
摘要
An existence result for the Cahn–Hilliard equation with a concentration dependent diffusional mobility is presented. In particular, the mobility is allowed to vanish when the scaled concentration takes the values $ \pm 1$, and it is shown that the solution is bounded by 1 in magnitude. Finally, applications of our method to other degenerate fourth-order parabolic equations are discussed.
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