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.

引用

页码：973 / 1026

页数：54

共 12 条

[1]

GERARD R, 1996, ASPECTS MATH

[2] NONLINEAR HYPERBOLIC EQUATIONS [J].