On the Borel summability of formal solutions for some first order singular PDES with irregular singularity

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	On the Borel summability of formal solutions for some first order singular PDES with irregular singularity
	Chen, H ; Zhang, ZX
	2005-07-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	25 期号:3 页码:419-426
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.
关键词	singular PDEs formal solutions Borel summability
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000230984700005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2322
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, H
作者单位	1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, H,Zhang, ZX. On the Borel summability of formal solutions for some first order singular PDES with irregular singularity[J]. ACTA MATHEMATICA SCIENTIA,2005,25(3):419-426.
APA	Chen, H,&Zhang, ZX.(2005).On the Borel summability of formal solutions for some first order singular PDES with irregular singularity.ACTA MATHEMATICA SCIENTIA,25(3),419-426.
MLA	Chen, H,et al."On the Borel summability of formal solutions for some first order singular PDES with irregular singularity".ACTA MATHEMATICA SCIENTIA 25.3(2005):419-426.