摘要: |
在一些初值的假定下,使用Steklov均值证明一个广义薄膜方程弱解的唯一性,并使用能量等式讨论该方程弱解的渐近行为. |
关键词: 薄膜方程 弱解 唯一性 渐近行为 |
DOI: |
投稿时间:2011-01-07 |
基金项目:广西教育厅科研项目(200911MS294)资助 |
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Unigueness and Asymptotic Behavior of Weak Solutions for a Generalized Thin Film Equation |
GUO Jin-yong
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(Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China) |
Abstract: |
Under some assumptions on the initial value, the uniqueness of weak solutions for a generalized thin film equation was proved by using the Steklov mean.The asymptotic behavior of weak solution was also discussed by using the energy equality. |
Key words: thin film equation weak solution uniqueness asymptotic behavior |