数学杂志2012，Vol.32Issue(4)：729-739,11.
非正则奇异性偏微分方程组的形式解
FORMAL SOLUTIONS FOR FIRST ORDER NONLINEAR PDES WITH IRREGULAR SINGULARITY
顾素萍 1陈化 1罗壮初1
作者信息
- 1. 武汉大学数学与统计学院,湖北武汉430072
- 折叠
摘要
Abstract
In this paper, we study a class of first order nonlinear partial differential equations with irregular singularity in the domain Ct x Cx. By using formal Borel transformation, we prove the existence and uniqueness of the formal solution in formal Gevrey class under certain assumptions, which extend the result of nonlinear partial differential equation with irregular singularity.关键词
方程组/奇异偏微分方程/形式解/Gevrey类Key words
partial differential equations/ singular partial differential equation/ formal solution/ Gevrey class分类
数理科学引用本文复制引用
顾素萍,陈化,罗壮初..非正则奇异性偏微分方程组的形式解[J].数学杂志,2012,32(4):729-739,11.
