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一个广义Davey-Stewartson系统在Rn中的惟一连续性
  • ISSN号：1000-0917
  • 期刊名称：《数学进展》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]西北大学数学系,陕西西安710127, [2]西北大学非线性科学研究中心,陕西西安710069
  • 相关基金：国家自然科学基金资助项目（11001219;11471259）; 陕西省自然科学基础研究计划基金资助项目（2014JQ1002）
作者： 付英[1,2], 屈长征[3]
关键词： 两分支Camassa-Holm系统, Cauchy-Kowalevski定理, 解析性, two-component Camassa-Holm system, Cauchy-Kowalevski theorem, analyticity
中文摘要：

利用抽象的Cauchy-Kowalevski定理,证明两分支Camassa-Holm系统Cauchy问题解的解析性,即系统的解关于空间变量是全局解析的,关于时间变量是局部解析的。该方法还可以用于讨论其他非线性偏微分方程解的解析性。

英文摘要：

The abstract Cauchy-Kowalevski theorem is used to discuss the analyticity of the Cauchy problem for a two-component Camassa-Holm system.It is proved that its solutions are analytic in both variables,globally in space and locally in time.The same approach can be used to discuss the analyticity of the solutions for the other nonlinear partial differential equations.

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期刊信息
  • 《数学进展》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学协术学会
  • 主办单位:中国数学会
  • 主编：丁伟岳
  • 地址：北京大学数学系数学进展编辑部
  • 邮编：100871
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：1000-0917
  • 国内统一刊号：ISSN：11-2312/O1
  • 邮发代号:2-503
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3411