Global Existence for Nonlinear Hyperbolic Systems of Kirchhoff Type
Global Existence for Nonlinear Hyperbolic Systems of Kirchhoff Type
复制标题
基尔霍夫型非线性双曲系统的整体存在性
DOI：
10.1006/jdeq.1996.0179
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发表时间：
1996
影响因子：
2.4
通讯作者：
R. Manfrin
中科院分区：
文献类型：
--
作者：
E. Callegari;R. Manfrin
摘要本文证明了具有Kirchhoff型积分-微分系数的非线性双曲型系统具有小且适当光滑初始数据的Cauchy问题的全局可解性。在[4,5,7]和[10]中得到了一些结果，这可以推广到广义的非线性双曲方程。我们的方法类似于格林伯格和胡在b[10]中对经典基尔霍夫方程所采用的技术。
Abstract In this paper we prove the global solvability of the Cauchy problem, with small and suitably smooth initial data, for nonlinear hyperbolic systems with integro- differential coefficients of Kirchhoff type. This extends to a wide class of nonlinear hyperbolic equations some results in [4, 5, 7] and [10]. Our method is similar to the technique employed by Greenberg & Hu in [10] in the case of the classical Kirchhoff equation.