摘要
本文研究了具非正则奇异性的一阶全特征型偏微分方程的形式幂级数解.利用待定系数法证明了形式幂级数解的存在唯一性,并给出了其Gevrey类指标的计算公式.
The solutions of first order totally characteristic type PDE with irregular singularity is not holomorphic,but there is the unique formal solution belonging to the Gevrey class.We discuss the formal solutions of two different first order totally characteristictype PDEs with irregular singularity,and prove these solutions belong to the Gevrey class.
出处
《数学杂志》
CSCD
北大核心
2008年第6期642-646,共5页
Journal of Mathematics
基金
国家自然科学基金资助项目(10401028)
