| ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY |
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| 作者姓名： | 陈化 张志雄 |
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| 作者单位： | [1]SchoolofMathematicsandStatistics,WuhanUniversity,Wuhan430072,China [2]SchoolofMathematicsandStatistics,WuhanUniversity,Wuhan430072,China／／InstituteofSystemsScience,ChineseAcademyofSciences,Beijing100080,China |
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| 基金项目： | supported by the NSFC and the 973 key project of the MOST |
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| 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.
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| 关 键 词： | 奇异偏微分方程 形式解 波莱尔可加性 正则函数 |
| 收稿时间： | 8 October 2002 |
ON THE BOREL SUMMABILITY OF FORMAL SOLUTIONS FOR SOME FIRST ORDER SINGULAR PDES WITH IRREGULAR SINGULARITY |
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| Chen Hua,Zhang Zhixiong.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. |
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| Authors: | Chen Hua Zhang Zhixiong |
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| Institution: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;2. Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China;1. Universidad de Murcia, Departamento de Matemáticas, Campus de Espinardo, 30100 Murcia, Spain;2. Universidad de Alicante, Departamento de Matemáticas, Facultad de Ciencias, 03080 Alicante, Spain;1. Queensland Alliance for Agriculture and Food Innovation, The University of Queensland, St Lucia, Queensland, 4067, Australia;2. School of Chemistry and Molecular Biosciences, Australian Infectious Diseases Research Centre, Australian Centre for Ecogenomics, University of Queensland, St. Lucia, Queensland, 4067, Australia;3. Akkhraratchakumari Veterinary College, Walailak University, Nakhon Si Thammarat, 80161, Thailand;4. Animal Pathology, Diagnostic Laboratory Services, Sustainability and Biosecurity, Department of Primary Industries and Regional Development, South Perth, Western Australia, 6151, Australia;5. Veterinary Department, Perth Zoo, Department of Biodiversity, Conservation and Attractions, South Perth, Western Australia, 6151, Australia |
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| Abstract: | 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. |
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| Keywords: | Singular PDEs formal solutions Borel summability |
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