The Cauchy problem for fractional Camassa-Holm equation in Besov space

2020/06/04 by Fan, Lili, Gao, Hongjun, Wang, Junfang +1 · 1 citation
#35B30 #35G25 #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.03513

Abstract

In this paper, we consider the fractional Camassa-Holm equation modelling the propagation of small-but-finite amplitude long unidirectional waves in a nonlocally and nonlinearly elastic medium. First, we establish the local well-posedness in Besov space Bs02,1 with s0=2ν-\frac 1 2 for ν>\frac 3 2 and s0=\frac 5 2 for 1

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• A convergent Fourier spectral Galerkin method for the fractional Camassa-Holm equation

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