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 .
Cite this article
Naoyasu Kita, Jun-ichi Segata, Time Local Well-posedness for the Benjamin–Ono Equation with Large Initial Data. Publ. Res. Inst. Math. Sci. 42 (2006), no. 1, pp. 143–171DOI 10.2977/PRIMS/1166642062