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拟线性双曲型方程柯西问题的奇摄动
引用本文:梁立华,李君湘.拟线性双曲型方程柯西问题的奇摄动[J].天津大学学报(自然科学与工程技术版),1997(4).
作者姓名:梁立华  李君湘
作者单位:数学系
摘    要:研究拟线性双曲型方程柯西问题,在一定假设下,得到解的M阶一致有效的渐近展开式,并作出余项估计.

关 键 词:奇摄动,边界层函数,渐近展开式

SINGULAR PERTURBATIONS OF THE CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC EQUATIONS
Liang Lihua,Li Junxiang.SINGULAR PERTURBATIONS OF THE CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC EQUATIONS[J].Journal of Tianjin University(Science and Technology),1997(4).
Authors:Liang Lihua  Li Junxiang
Institution:Dept. of Mathematics
Abstract:This paper deals with the singular perturbation of the Cauchy problem of quasilinear hyperbolic equations. Under a given assumption, the author of this paper obtained the uniformly powerful asymptotic expansion of M order and made an estimation of the remainder in asymptotic series.
Keywords:singular perturbation  boundary stratification  asymptotic expansion
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