On the Borel summability of formal solutions for some first order singular PDES with irregular singularity
文献类型:期刊论文
作者 | Chen, H; Zhang, ZX |
刊名 | ACTA MATHEMATICA SCIENTIA
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出版日期 | 2005-07-01 |
卷号 | 25期号:3页码:419-426 |
关键词 | singular PDEs formal solutions Borel summability |
ISSN号 | 0252-9602 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000230984700005 |
出版者 | SPRINGER |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2321] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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