数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (3): 286-291.

• 论文 • 上一篇    下一篇

SOLUTIONS OF THE BENJAMIN-ONO EQUATION IN FRACTIONAL ORDER SOBOLEV SPACES

冯学尚   

  1. Dept. of Math., Lanzhou University, Lanzhou 730000, China
  • 收稿日期:1989-12-02 出版日期:1992-09-25 发布日期:1992-09-25

SOLUTIONS OF THE BENJAMIN-ONO EQUATION IN FRACTIONAL ORDER SOBOLEV SPACES

Feng Xueshang   

  1. Dept. of Math., Lanzhou University, Lanzhou 730000, China
  • Received:1989-12-02 Online:1992-09-25 Published:1992-09-25

摘要: We show for the Benjamin-Ono equation an existence uniqeness theorem in Sobolev spaces of arbitrary fractional order s ≥ 2, provided the initial data is given in the same space.

Abstract: We show for the Benjamin-Ono equation an existence uniqeness theorem in Sobolev spaces of arbitrary fractional order s ≥ 2, provided the initial data is given in the same space.