ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY

数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (3): 419-426.

ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY

陈化,张志雄

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China

出版日期:2005-07-20 发布日期:2005-07-20
基金资助:
Research supported by the NSFC and the 973 key project of the MOST

ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY

CHEN Hua, ZHANG Zhi-Xiong

Online:2005-07-20 Published:2005-07-20
Supported by:
Research supported by the NSFC and the 973 key project of the MOST

摘要/Abstract

摘要：

In this paper the authors consider the summability of formal solutions for
some first order singular PDEs with irregular singularity. They prove that in this case the
formal solutions will be divergent, but except a enumerable directions, the formal solutions
are Borel summable.

Abstract:

Key words: Singular PDEs;formal solutions, Borel summability

中图分类号:

35C10

陈化, 张志雄. ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY[J]. 数学物理学报(英文版), 2005, 25(3): 419-426.

CHEN Hua, ZHANG Zhi-Xiong. ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY[J]. Acta mathematica scientia,Series B, 2005, 25(3): 419-426.

ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY

ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY

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