| 一类具非线性阻尼梁方程的整体弱解 |
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| 引用本文： | 刘艳.一类具非线性阻尼梁方程的整体弱解[J].太原师范学院学报(自然科学版),2011,10(3):47-49. |
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| 作者姓名： | 刘艳 |
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| 作者单位： | 苏州高等幼儿师范学校,江苏苏州,215008 |
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| 摘 要： | 文章研究了一类同时具有非线性阻尼项和强阻尼项的梁方程初边值问题.以Sobo-lev空间的性质为工具,利用Faedo-Galerkin方法,证明了此初边值问题存在唯一的整体弱解.
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| 关 键 词： | 非线性梁 阻尼 整体弱解 Faedo-Galerkin方法 |
Global Weak Solution for a Class of Beam Equations with Nonliear Damping |
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| Liu Yan.Global Weak Solution for a Class of Beam Equations with Nonliear Damping[J].Journal of Taiyuan Normal University:Natural Science Edition,2011,10(3):47-49. |
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| Authors: | Liu Yan |
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| Institution: | Liu Yan( Suzhou Higher Normal School Children,Suzhou 215008,China) |
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| Abstract: | We study the initial boundary value problem for a class of beam equations with nonlinear damping and strong damping.We can obtain the existence and uniqueness theorem of global weak solution for the initial boundary value problem by means of the Faedo-Galerkin method in the Sobolev space. |
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| Keywords: | nonlinear beam damping global weak solution Faedo-Galerkin method |
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