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Euler-Bernoulli粘弹性方程初边值问题整体解的存在性 被引量:2

Global Existence of the Solution for the Euler-Bernoulli Viscoelastic Equation with Initial Boundary Value Condition
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摘要 本文利用 Faedo- Galerkin方法证明了一类具记忆项的 Euler- Bernoulli粘弹性方程初边值问题整体解的存在性 . In this paper, the existence of global weak solution for the Euler-Bernoulli viscoelastic equation with initial boundary value condition is proved by Faedo-Galerkin method.
出处 《数学的实践与认识》 CSCD 北大核心 2003年第11期111-114,共4页 Mathematics in Practice and Theory
基金 国家自然科学基金 ( 10 0 710 74 ) 河南省科技厅和教育厅自然科学基金
关键词 Euler-Bernoulli粘弹性方程 Faedo-Galerkin法 边值问题 存在性 范数 初值问题 Euler-Bernoulli viscoelastic equation initial boundary value problem existence of global weak solution
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参考文献4

  • 1[1]Cavalcanti M M. Existence and uniform decay for the Euler-Bernoulli viscoelastic equation with nonlocal boundary dissipation[J]. Discre Continu Dyna Syst, 2002, 8(3): 673-695.
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  • 4[4]Lions J L. Quelques Metodes De Resolution des Problemes aux Limites Non Lineairs[M]. Dunod: Paris, 1969.

同被引文献6

  • 1Rivera J M,Lapa E C,Barreto R.Decay rates for viscoelastic plates with memory[J].J of Elasticity,1996,44(1):61-87.
  • 2Rivera J M,Oquendo H P.Transmission problem for viscoelastic beams[J].Advances in Math Sci and Appl,2002,12(1):1-20.
  • 3Levandosky S P.Decay estaimates for fourth order wave equation[J].J Diff Equas,1998,143(2):360-413.
  • 4Georgiev V,Todorova G.Existence of solutions of the wave equations with nonlinear damping and source terms[J].J Diff Equas,1994,109(2):295-308.
  • 5Cavalcanti M M,Cavalcanti V N D,Ma T F.Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains[J].Diff and Integ Equas,2004,17(5/6):495-510.
  • 6Messaoudi S A.Global existence and nonexistence in a system Pertovsky[J].J Math Anal Appl,2002,265(2):296-308.

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