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arXiv · 1202.6671

An ill-posedness result for the Boussinesq equation

Dan-Andrei Geba·A. Alexandrou Himonas·David Karapetyan
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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 $s<-1/2$.

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Dan-Andrei Geba, A. Alexandrou Himonas, David Karapetyan. 2012-02-29. An ill-posedness result for the Boussinesq equation. https://arxiv.org/abs/1202.6671

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