JournalsprimsVol. 42, No. 1pp. 143–171

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
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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].

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. 143–171

DOI 10.2977/PRIMS/1166642062