...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Dynamical and Control Systems >ON GEVREY FUNCTIONAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH FUCHSIAN AND IRREGULAR SINGULARITIES
【24h】

ON GEVREY FUNCTIONAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH FUCHSIAN AND IRREGULAR SINGULARITIES

机译：具有Fuchsian和不规则奇异性的偏微分方程的GEVREY函数解

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We construct formal power series solutions of nonlinear partial integro-differential equations with Fuchsian and irregular singularities at the origin of C{sup}2 for given initial conditions being formal power series. We give sufficient conditions under which there exist actual sectorial holomorphic solutions which are Gevrey asymptotic to the given formal series solutions for given 1-summable formal series initial conditions. A phenomenon of small divisors is observed for the appearance of singularities of the Borel transform of the constructed formal series due to the presence of the Fuchsian singularity. This property has an effect on the Gevrey asymptotic order for the constructed holomorphic solutions which becomes larger than the Gevrey order of the initial conditions.
机译：在给定初始条件为形式幂级数的情况下，我们以C {sup} 2的原点构造具有Fuchsian和不规则奇点的非线性偏微分方程的形式幂级数解。我们给出了足够的条件，在这些条件下，对于给定的1可加形式级数初始条件，实际的扇区全同型解对于给定的级数解是Gevrey渐近的。由于存在Fuchsian奇异性，所构造的形式级数的Borel变换的奇异性出现了小除数现象。该性质对所构造全纯解的Gevrey渐近阶有影响，该渐近阶变得大于初始条件的Gevrey阶。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号