The Asymptotic Behavior of Singular Solutions of Some Nonlinear Partial Differential Equations in the Complex Domain

被引：0
|
作者：
Ouchi, Sunao [1 ]
机构：
[1] Sophia Univ, Dept Math, Tokyo 1028554, Japan
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2008年 / 44卷 / 04期
关键词：
singular solution; asymptotic behavior; complex partial differential equation; Mellin transform;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let u(t, x) ((t, x) is an element of C x C(d)) be a solution of a nonlinear partial differential equation in a neighborhood of the origin, which is not necessarily holomorphic on {t = 0}. We study the asymptotic behavior of u(t, x) as t --> 0 and give its asymptotic terms with remainder estimate of Gevrey type.
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页码：973 / 1026
页数：54
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