Sharp well-posedness of the Ostrovsky, Stepanyams and Tsimring equation
Esfahani, Amin
Mathematical Communications, Tome 18 (2013) no. 1, p. 323-335 / Harvested from Mathematical Communications
Text on Mathematical Communications
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 $s<-3/2$.
Publié le : 2013-11-12
Classification:  
@article{mc327,
     author = {Esfahani, Amin},
     title = {Sharp well-posedness of the Ostrovsky, Stepanyams and Tsimring equation},
     journal = {Mathematical Communications},
     volume = {18},
     number = {1},
     year = {2013},
     pages = { 323-335},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc327}
}

Esfahani, Amin. Sharp well-posedness of the Ostrovsky, Stepanyams and Tsimring equation. Mathematical Communications, Tome 18 (2013) no. 1, pp.  323-335. http://gdmltest.u-ga.fr/item/mc327/