On the regularity of the flow map associated with the 1D cubic periodic Half-Wave equation

2015/08/14 by Vladimir Georgiev, Nikolay Tzvetkov, Georgiev, V. +3
Mathematics · Computer Science · #Advanced Mathematical Physics Problems #Differential Equations and Boundary Problems #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.1508.03496

Abstract

We prove that the solution map associated with the 1D half-wave cubic equation in the periodic setting cannot be uniformly continuous on bounded sets of the periodic Sobolev spaces H^s with s∈ (1/4, 1/2)

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