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Sharp Well-posedness for the Benjamin Equation by Chen, Wengu; Guo, Zihua; Xiao, Jie is a scholarly article available to read on EtoBox.

What is Sharp Well-posedness for the Benjamin Equation about?

Having the ill-posedness in the range $s<-3/4$ of the Cauchy problem for the Benjamin equation with an initial $H^{s}({\mathbb R})$ data, we prove that the already-established local well-posedness in the range $s>-3/4$ of this initial value problem is extendable to $s=-3/4$ but also that such a well-posed property is globally valid for $s\in [-3/4,\infty)$.

Author

Chen, Wengu; Guo, Zihua; Xiao, Jie

Published

2009

Language

EN