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陆军, 张小中, 张宏伟. 具有分数次结构阻尼项的波动方程初边值问题[J]. 信阳师范学院学报(自然科学版), 2006, 19(3): 261-264.
引用本文: 陆军, 张小中, 张宏伟. 具有分数次结构阻尼项的波动方程初边值问题[J]. 信阳师范学院学报(自然科学版), 2006, 19(3): 261-264.
shu
LU Jun, ZHANG Xiao-zhong, ZHANG Hong-wei. Initial Boundary of Wave Equation with Fraction Structure Damping Term[J]. Journal of Xinyang Normal University (Natural Science Edition), 2006, 19(3): 261-264.
Citation: LU Jun, ZHANG Xiao-zhong, ZHANG Hong-wei. Initial Boundary of Wave Equation with Fraction Structure Damping Term[J]. Journal of Xinyang Normal University (Natural Science Edition), 2006, 19(3): 261-264.
shu

具有分数次结构阻尼项的波动方程初边值问题

Initial Boundary of Wave Equation with Fraction Structure Damping Term

    摘要
  • 摘要: 研究了一类具有分数次结构阻尼项的非线性波动方程的初边值问题,利用Galerk in方法、位势井得到了整体解的存在性、渐近性以及爆破性的充分条件.

     

    Abstract: The existence,the asymptotic behaviour and the sufficient condition of blow-up of the global solutions are solved for a class of nonlinear wave equations with the fraction structure damping term by the use of Galerkin method and potential well method.

     

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