Abstract
ABSTRACTIn this paper, we study the Cauchy problem of the generalized Fokas–Olver–Resenau–Qiao equation. Firstly, by means of transport equation and Littlewood–Paley theory, we obtain the local well-posedness of the equation in the nonhomogeneous Besov space with , . Secondly, we consider the local well-posedness in the critical space and show the continuality of the data-to-solution mapping. Thirdly, two blow-up criterion are addressed.
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