ASYMPTOTIC THEORY FOR WEAKLY NON-LINEAR WAVE EQUATIONS IN SEMI-INFINITE DOMAINS

被引：0
|
作者：
Easwaran, Chirakkal V. [1 ]
机构：
[1] SUNY Coll New Paltz, Dept Comp Sci, New Paltz, NY 12561 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年
关键词：
Multiple scale; perturbation; non-linear; waves; asymptotic;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence and uniqueness of solutions of a class of weakly non-linear wave equations in a semi-infinite region 0 <= x, t < L / root vertical bar is an element of vertical bar under arbitrary initial and boundary conditions. We also establish the asymptotic validity of formal perturbation approximations of the solutions in this region.
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页数：8
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