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退化拟抛物方程弱解的存在性 被引量：4

The Existence of Weak Solutions for a Degenerate Pseudoparabolic Equation
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摘要 考虑一类退化拟抛物方程的初边值问题.在一些初值的假定下,基于时间离散化方法构造逼近解.通过对逼近解的一致性估计,证明了弱解的存在性. We considers an initial-boundary value problem for a class of degenerate pseudoparabolie equation. Under some assumptions on the initial value, we construct approximate solutions by using the time-discrete method. By means of uniform estimates on these approximate solutions,we establish the existence of weak solutions.
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 《南京师大学报（自然科学版）》 CAS CSCD 北大核心 2013年第2期15-19,共5页 Journal of Nanjing Normal University(Natural Science Edition)
基金 广西教育厅科研项目(201204LX502)
关键词 拟抛物方程 弱解 存在性 pseudoparabolie equation, weak solution, existence
分类号 O175.26 [理学—基础数学]
  • 相关文献

参考文献11

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二级参考文献15

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共引文献5

同被引文献15

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  • 7XU M,ZHOU S.Existence and uniqueness of weak solutions for a generalized thin film equation[J].Nonlinear Anal,2005,60:755-774.
  • 8尹方平.一类定态四阶方程解的存在性[J].科学技术与工程,2009,9(9):2403-2404. 被引量：1
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  • 10姜静香.一类Kirchhoff型方程退化时的弱解存在性[J].渤海大学学报（自然科学版）,2013,34(2):115-120. 被引量：3

引证文献4

二级引证文献2

南京师大学报（自然科学版）
2013年 第2期

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