广西科学院学报

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黎运发,郭金勇.一个具有非线性关系的退化四阶抛物方程弱解的唯一性[J].广西科学院学报,2010,26(2):97-99. [点击复制]
LI Yun-fa,GUO Jin-yong.The Uniqueness of Weak Solution for a Fourth Order Degenerate Parabolic Equation with Nonlinear Relation[J].Journal of Guangxi Academy of Sciences,2010,26(2):97-99. [点击复制]

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一个具有非线性关系的退化四阶抛物方程弱解的唯一性
黎运发¹, 郭金勇²
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(1.柳州师范高等专科学校财经系, 广西柳州 545004;2.柳州师范高等专科学校数学与计算机科学系, 广西柳州 545004)

摘要:

讨论一个具有非线性关系的退化四阶抛物方程的初边值问题,在一些初值的假定下,证明该问题弱解的唯一性.

关键词: 四阶抛物方程弱解唯一性

DOI：

投稿时间：2009-06-26

基金项目:广西新世纪教改工程“十一五”第五批立项项目(一般资助项目)(编号：2009B098)资助。

The Uniqueness of Weak Solution for a Fourth Order Degenerate Parabolic Equation with Nonlinear Relation

LI Yun-fa¹, GUO Jin-yong²

(1.Department of Finance and Economics, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China;2.Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China)

Abstract:

An initial-boundary value problem for a fourth order degenerate parabolic equation with nonlinear relation was considered.Under some assumptions on the initial value,the uniqueness of weak solutions is proved.

Key words: fourth order parabolic equation weak solution uniqueness

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