On the local well--posedness of the two component b-family of equations

2021/05/06 by Inci, Hasan
#35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.02576

Abstract

In this paper we consider the two component b-family of equations on \mathbb R. We write the equations on a Sobolev type diffeomorphism group. As an application of this formulation we show that the dependence on the initial data is nowhere locally uniformly continuous. In particular it is nowhere locally Lipschitz and nowhere locally Hölder continuous.

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