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

Hidetoshi Tahara, Hiroshi Yamazawa

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)3592-3637
Number of pages46
JournalJournal of Differential Equations
Volume255
Issue number10
DOIs
Publication statusPublished - 2013 Nov 15

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Partial differential equations

Keywords

  • Formal solution
  • Linear partial differential equation
  • Multisummability
  • Non-Kowalevskian equation
  • Primary
  • Secondary

ASJC Scopus subject areas

  • Analysis

Cite this

Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations. / Tahara, Hidetoshi; Yamazawa, Hiroshi.

In: Journal of Differential Equations, Vol. 255, No. 10, 15.11.2013, p. 3592-3637.

Research output: Contribution to journalArticle

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