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一类四阶非线性抛物方程弱解的存在性 被引量：5

The Existence of Weak Solutions for a Class of Fourth Order Nonlinear Parabolic Equation
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摘要 研究了一类四阶非线性抛物方程的初值问题.通过对时间的离散化构造并证明了逼近解的存在性,然后利用逼近解的一致估计结合紧致性原理证明了问题弱解的整体存在性. The initial-boundary value problem for a class of fourth order nonlinear parabolic equation is investigated. Through the time discretization, the existence of approximate solutions is constructed and proved. By using uniform estimation on these approximate solutions combined with the compact principle, the global existence of weak solutions to the problem is established.
作者 郭金勇
机构地区 柳州师范高等专科学校数学与计算机科学系
出处 《华南师范大学学报（自然科学版）》 CAS 北大核心 2013年第5期23-26,共4页 Journal of South China Normal University(Natural Science Edition)
基金 广西壮族自治区自然科学基金项目(0991265) 广西壮族自治区教育厅科研项目(201204LX502)
关键词 四阶非线性抛物方程 弱解 整体存在性 fourth order nonlinear parabolic equation weak solution global existence
分类号 O175.26 [理学—基础数学]
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参考文献8

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共引文献5

同被引文献13

引证文献5

二级引证文献4

华南师范大学学报（自然科学版）
2013年 第5期

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