Multisummability of formal power series solutions of nonlinear partial differential equations in complex domains

被引:0
作者
Ouchi, S [1 ]
机构
[1] Sophia Univ, Dept Math, Chiyoda Ku, Tokyo 1028554, Japan
关键词
asymptotic expansion; formal power series solutions; multisummability;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let (u) over cap (t,x) = Sigma(infinity)(n=1) u(n)(x)t(n), (t,x) is an element of C x C-d, be a formal power series solution of a nonlinear partial differential equation. We study multisummability of (u) over cap (t,x). This paper is a continuation of [S. (O) over bar uchi, Multisummability of formal solutions of some linear partial differential equations, J. Differential Equations 185 (2002), 513-549], where linear partial differential equations were treated.
引用
收藏
页码:187 / 225
页数:39
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