Well-posedness for the Benjamin equations

Hideo Kozono, Takayoshi Ogawa, Hirooki Tanisaka

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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
Issue number6
Publication statusPublished - 2001


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


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