Strong instability of ground states to a fourth order Schr\"odinger equation
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🧮 math.AP
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citefourthgroundinstabilityodingerorderschrsolutions
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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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