On multisummability of formal solutions with logarithm terms for some linear partial differential equations

研究成果: Article

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In this paper we consider formal solutions of the following form for some linear partial differential equations: û(t, x) = ∑i≥1k≤mi ui, k(x)ti (log t)k. Under the same conditions as those in Ōuchi [8], we show multisummability of the formal solutions û(t, x). It is our key of proofs to find a solution of exponential growth for convolution equations with polynomial coefficients with respect to y via the change of variable log t = y.

元の言語English
ページ(範囲)371-406
ページ数36
ジャーナルFunkcialaj Ekvacioj
60
発行部数3
DOI
出版物ステータスPublished - 2017 1 1

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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