• Title of article

    Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients. Part II

  • Author/Authors

    Masaki Hibino، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    30
  • From page
    534
  • To page
    563
  • Abstract
    Under a certain restriction, singular first-order linear partial differential equations of nilpotent type with two variables are divided into two classes. In the previous paper Part I, we dealt with the one class, and comprehended that there was a close affinity between the Borel summability of divergent solutions and global analytic continuation properties for coefficients. In this Part II, we give a similar consideration on the other class. More precise global estimates than those given in Part I for coefficients will be required to prove the Borel summability of divergent solutions.
  • Keywords
    partial differential equations , Divergent power series , Borel summability , Asymptotic expansions , Analytic continuation
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Serial Year
    2006
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Record number

    750913