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非线性Kirchhoff方程的解的存在性

Keywords: 非线性Kirchhoff方程,解的存在性,Galerkin方法

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Abstract:

主要研究非线性波动方程——Kirchhoff方程解的存在性.Kirchhoff方程是一类重要的非线性方程,它起源于对弹性细绳的微小振动的描述,在研究Kirchhoff方程的初边值问题的过程中,利用Galerkin逼近方法,证明了非线性Kirchhoff方程解在空间H1(Ω)×L2(Ω)的存在性.

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