Original scientific paper

Sharp well-posedness of the Ostrovsky, Stepanyams and Tsimring equation

Amin Esfahani ; School of Mathematics and Computer Science, Damghan University, Damghan, Iran

Abstract

In this paper, we study the Ostrovsky, Stepanyams and Tsimring equation. We show that the associated initial value problem is locally well-posed in Sobolev spaces $H^s\left(\mathbb{R}\right)$ for $s>-3/2$. We also prove that our result is sharp in the sense that the flow map of this equation fails to be $C^2$ in $H^s(\mathbb{R})$ for $s<-3/2$.

Keywords

local well-posedness; OST equation; Sobolev spaces

Hrčak ID:

110822

URI

https://hrcak.srce.hr/110822

Publication date:

19.11.2013.

Visits: 1.364 *