Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations

Hidetoshi Tahara, Hiroshi Yamazawa

研究成果: Article査読

32 被引用数 (Scopus)

抄録

The paper considers the Cauchy problem for linear partial differential equations of non-Kowalevskian type in the complex domain. It is shown that if the Cauchy data are entire functions of a suitable order, the problem has a formal solution which is multisummable. The precise bound of the admissible order of entire functions is described in terms of the Newton polygon of the equation.

本文言語English
ページ(範囲)3592-3637
ページ数46
ジャーナルJournal of Differential Equations
255
10
DOI
出版ステータスPublished - 2013 11 15

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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