Singular solutions of the Briot-Bouquet type partial differential equations

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In 1990, Gérard-Tahara [2] introduced the Briot-Bouquet type partial differential equation t∂tu = F(t, x, u,∂xu), and they determined the structure of singular solutions provided that the characteristic exponent ρ(x) satisfies ρ(0)∉(1, 2,…). In this paper the author determines the structure of singular solutions in the case ρ(0)∈(1, 2,…).

Original languageEnglish
Pages (from-to)617-632
Number of pages16
JournalJournal of the Mathematical Society of Japan
Volume55
Issue number3
DOIs
Publication statusPublished - 2003 Jan 1
Externally publishedYes

Keywords

  • Characteristic exponent
  • Singular solution
  • The Briot-Bouquet type partial differential equations

ASJC Scopus subject areas

  • Mathematics(all)

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