ON THE GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS OF SECOND ORDER FULLY NONLINEAR HYPERBOLIC EQUATIONS WITH FIRST ORDER DISSIPATION IN THE EXTERIOR DOMAIN
ON THE GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS OF SECOND ORDER FULLY NONLINEAR HYPERBOLIC EQUATIONS WITH FIRST ORDER DISSIPATION IN THE EXTERIOR DOMAIN
复制标题
外域一阶耗散二阶全非线性双曲方程经典解的整体存在性
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Y. Shibata
中科院分区：
文献类型：
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作者：
Y. Shibata
本文建立了具有一阶耗散项的二阶完全非线性双曲型方程的整体解的存在性和唯一性定理，在数据是非常小的光滑数据和空间维数为n1 ~ 3的情况下，并进一步研究了一些衰减定理
In this paper, we establish global existence and uniqueness theorems of solutionsof second order fully nonlinear hyperbolic equations with firstorder dissipation in the exterior domain, in the case that data are sufficientlysmall and smooth and that the space dimension ni3, Furthermore, we investigate some decay theorem