Existence of solutions for a nonlocal epitaxial thin film growing equation

被引：0
|
作者：
Changchun Liu
Zhenbang Li
机构：
[1] Jilin University,Department of Mathematics
来源：
Archiv der Mathematik | 2012年 / 99卷
关键词：
Primary 35K55; Secondary 35B30; Nonlocal epitaxial thin film; Existence; Weak solutions;
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学科分类号：
摘要：
The existence of weak solutions is studied to the initial boundary problem of a nonlocal epitaxial thin film growing equation modeling epitaxial thin film growth. We adopt the method of parabolic regularization. After establishing some necessary uniform estimates on the approximate solutions, we prove the existence of weak solutions.
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页码：157 / 168
页数：11
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