\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

Gevrey asymptotic theory for singular first order linear partial differential equations of nilpotent type — Part I —

Abstract / Introduction Related Papers Cited by
  • This paper is concerned with the existence of the Gevrey asymptotic solutions for the divergent formal solution of singular first order linear partial differential equations of nilpotent type. By using the Gevrey version of Borel-Ritt's theorem, we can prove the existence of asymptotic solutions in a small sector unconditionally. However, when we require the Borel summability of the formal solution (that is, the existence of asymptotic solutions in an open disk), global analytic continuation properties for coefficients are demanded.
    Mathematics Subject Classification: 35C20, 35C10, 35C15.

    Citation:

    \begin{equation} \\ \end{equation}
  • 加载中
SHARE

Article Metrics

HTML views() PDF downloads(208) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return