An ill-posedness result for the Boussinesq equation
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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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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 |
|---|---|
| DOI: | 10.48550/arxiv.1202.6671 |