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arXiv · 1703.07977

Strong instability of ground states to a fourth order Schr\"odinger equation

Denis Bonheure·Jean-Baptiste Casteras·Tianxiang Gou·Louis Jeanjean
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Abstract

In this note we prove the instability by blow-up of the ground state solutions for a class of fourth order Schr\" odinger equations. This extends the first rigorous results on blowing-up solutions for the biharmonic NLS due to Boulenger and Lenzmann \cite{BoLe} and confirm numerical conjectures from \cite{BaFi, BaFiMa1, BaFiMa, FiIlPa}.

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Denis Bonheure, Jean-Baptiste Casteras, Tianxiang Gou, Louis Jeanjean. 2017-03-23. Strong instability of ground states to a fourth order Schr\"odinger equation. https://arxiv.org/abs/1703.07977

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