Duruk Mutlubaş, Nilay (2019) On the Cauchy problem for the fractional Camassa-Holm equation. Monatshefte fur Mathematik, 190 (4). pp. 755-768. ISSN 0026-9255 (Print) 1436-5081 (Online)
This is the latest version of this item.
Official URL: https://dx.doi.org/10.1007/s00605-019-01278-6
Abstract
In this paper, we consider the Cauchy problem for the fractional Camassa–Holm equation which models the propagation of small-but-finite 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 well-posed for data in Hs(R) , s>52.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Fractional Camassa–Holm equation; Local well-posedness; Semigroup theory |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Nilay Duruk Mutlubaş |
| Date Deposited: | 21 Jul 2023 14:34 |
| Last Modified: | 21 Jul 2023 14:34 |
| URI: | https://research.sabanciuniv.edu/id/eprint/46144 |
Available Versions of this Item
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On the Cauchy problem for the fractional Camassa-Holm equation. (deposited 07 Aug 2018 15:17)
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On the cauchy problem for the fractional Camassa-Holm equation. (deposited 27 Aug 2019 14:25)
- On the Cauchy problem for the fractional Camassa-Holm equation. (deposited 21 Jul 2023 14:34) [Currently Displayed]
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On the cauchy problem for the fractional Camassa-Holm equation. (deposited 27 Aug 2019 14:25)
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