Duruk Mutlubaş, Nilay (2019) On the cauchy problem for the fractional CamassaHolm equation. Monatshefte für Mathematik . ISSN 00269255 (Print) 14365081 (Online) Published Online First http://dx.doi.org/10.1007/s00605019012786
This is the latest version of this item.
Official URL: http://dx.doi.org/10.1007/s00605019012786
Abstract
In this paper, we consider the Cauchy problem for the fractional CamassaHolm equation which models the propagation of smallbutfinite amplitude long unidirectional waves in a nonlocally and nonlinearly elastic medium. Using Kato's semigroup approach for quasilinear evolution equations, we prove that the Cauchy problem is locally wellposed for data in $H^{s}({\Bbb R})$, $s>{\frac{5}{2}}$.
Item Type:  Article 

Uncontrolled Keywords:  Fractional Camassa–Holm equation; Local wellposedness; Semigroup theory 
Subjects:  Q Science > QA Mathematics 
Divisions:  Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences 
Depositing User:  Nilay Duruk Mutlubaş 
Date Deposited:  27 Aug 2019 14:25 
Last Modified:  26 Apr 2022 10:05 
URI:  https://research.sabanciuniv.edu/id/eprint/37324 
Available Versions of this Item

On the Cauchy problem for the fractional CamassaHolm equation. (deposited 07 Aug 2018 15:17)
 On the cauchy problem for the fractional CamassaHolm equation. (deposited 27 Aug 2019 14:25) [Currently Displayed]