Persistence property and the local well-posedness of the modified Camassa-Holm equation in critical Besov equation
Abstract
In this paper, we first establish the local well-posednesss for the Cauchy problem of a modified Camassa-Holm (MOCH) equation in critical Besov spaces B 1 pp,1 with 1≤ p<+∞. The obtained results improve considerably the recent result in Luo1. Then we show the persiscence property of MOCH.
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