摘要
本文在C_t×C_x^n上研究一类一阶具非正则奇异性的非线性偏微分方程.在一定条件下,证明了其形式幂级数解属于形式Gevrey类,并给出了其Gevrey类指标的精确刻画.
In this paper, we study a class of first order nonlinear partial differential equation with irregular singularity in the domain Ct×Cx^n. Under certain assumptions, we prove the existence and uniqueness of the formal solution in formal Gevrey class.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2010年第5期897-904,共8页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(10401028)
关键词
奇异偏微分方程
形式解
形式Gevrey类
singular partial differential equation
formal solution
formal Gevrey class