JournalsprimsVol. 42 , No. 1DOI 10.2977/prims/1166642062

Time Local Well-posedness for the Benjamin–Ono Equation with Large Initial Data

  • Naoyasu Kita

    Miyazaki University, Japan
  • Jun-ichi Segata

    Tohoku University, Sendai, Japan
Time Local Well-posedness for the Benjamin–Ono Equation with Large Initial Data cover

Abstract

This paper studies the time local well-posedness of the solution to the Benjamin–Ono equation. Our aim is to remove smallness condition on the initial data which was imposed in Kenig–Ponce–Vega’s work [13].