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张小中, 邓利华. 具有边界记忆项波动方程的初边值问题[J]. 信阳师范学院学报(自然科学版), 2011, 24(4): 430-435.
引用本文: 张小中, 邓利华. 具有边界记忆项波动方程的初边值问题[J]. 信阳师范学院学报(自然科学版), 2011, 24(4): 430-435.
shu
ZHANG Xiao-zhong, DENG Li-hua. Initial and Boundary Problem of Wave Equation with Memory Term[J]. Journal of Xinyang Normal University (Natural Science Edition), 2011, 24(4): 430-435.
Citation: ZHANG Xiao-zhong, DENG Li-hua. Initial and Boundary Problem of Wave Equation with Memory Term[J]. Journal of Xinyang Normal University (Natural Science Edition), 2011, 24(4): 430-435.
shu

具有边界记忆项波动方程的初边值问题

Initial and Boundary Problem of Wave Equation with Memory Term

    摘要
  • 摘要: 研究一类具有边界记忆项的非线性波动方程的初边值问题,利用Galerkin方法、紧性原理得到了整体解的存在性,利用补偿能量法得到了解的渐近性.

     

    Abstract: The existence of global solutions for a class of nonlinear wave equation with the memory term was studied by Galerkin method and compact prinple.The asymptotic behavior of the global solution was obtained by use of energy method.

     

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