## On the cauchy problem for the fractional Camassa-Holm equation
Duruk Mutlubaş, Nilay (2019)
Full text not available from this repository. Official URL: http://dx.doi.org/10.1007/s00605-019-01278-6 ## AbstractIn 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 $H^{s}({\Bbb R})$, $s>{\frac{5}{2}}$.
## Available Versions of this Item- On the Cauchy problem for the fractional Camassa-Holm equation. (deposited 07 Aug 2018 15:17)
- On the cauchy problem for the fractional Camassa-Holm equation. (deposited 27 Aug 2019 14:25)
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- On the cauchy problem for the fractional Camassa-Holm equation. (deposited 27 Aug 2019 14:25)
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