L2 global well-posedness of the initial value problem associated to the Benjamin equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:152

Article

Linares, F

关键词: Benjamin equation;    well-posedness;    KdV;   

DOI  :  10.1006/jdeq.1998.3530

来源: Elsevier

【 摘 要 】

We study well-posedness for the initial value problem associated to the Benjamin equation and the periodic Benjamin equation. Global results are established for data in L-R(R) and L-2(T), respectively. We apply the recent theory, developed by Kenig, Pence, and Vega and Bourgain, to deal with low-regularity data for the initial value problem associated to the Korteweg-de Vries equation. (C) 1999 Academic Press.

【 授权许可】

Free