Well-posedness for the Benjamin equations

Hideo Kozono, Takayoshi Ogawa, Hirooki Tanisaka

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We consider the time local well-posedness of the Benjamin equation. Like the result due to Kenig-Ponce-Vega |10|, |12|, we show that the initial value problem is time locally well posed in the Sobolev space HS(ℝ) for s > -3/4.

Original languageEnglish
Pages (from-to)1205-1234
Number of pages30
JournalJournal of the Korean Mathematical Society
Volume38
Issue number6
Publication statusPublished - 2001
Externally publishedYes

Fingerprint

Well-posedness
Vega
Local Well-posedness
Sobolev Spaces
Initial Value Problem

Keywords

  • Benjamin equation
  • Initial value problem
  • KdV equation
  • Local well-posedness

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Well-posedness for the Benjamin equations. / Kozono, Hideo; Ogawa, Takayoshi; Tanisaka, Hirooki.

In: Journal of the Korean Mathematical Society, Vol. 38, No. 6, 2001, p. 1205-1234.

Research output: Contribution to journalArticle

Kozono, H, Ogawa, T & Tanisaka, H 2001, 'Well-posedness for the Benjamin equations', Journal of the Korean Mathematical Society, vol. 38, no. 6, pp. 1205-1234.
Kozono, Hideo ; Ogawa, Takayoshi ; Tanisaka, Hirooki. / Well-posedness for the Benjamin equations. In: Journal of the Korean Mathematical Society. 2001 ; Vol. 38, No. 6. pp. 1205-1234.
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