An ill-posedness result for the Boussinesq equation

2012/02/29 by Geba, Dan-Andrei, Himonas, A. Alexandrou, Karapetyan, David
#35B30 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1202.6671

Abstract

The aim of this article is to prove new ill-posedness results concerning the nonlinear "good" Boussinesq equation, for both the periodic and non-periodic initial value problems. Specifically, we prove that the associated flow map is not continuous in Sobolev spaces H^s, for all s

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