Singular solutions of the Briot-Bouquet type partial differential equations

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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
Publication statusPublished - 2003 Jul
Externally publishedYes

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Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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