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Strong Instability of Ground States to a Fourth Order Schrödinger Equation

par Bonheure, Denis ;Casteras, Jean-Baptiste ;Gou, Tianxiang;Jeanjean, Louis
Référence International mathematics research notices, 2019, 17, page (5299-5315)
Publication Publié, 2019-09-01

Article révisé par les pairs

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Résumé :

In this note, we prove the instability by blow-up of the ground state solutions for a class of fourth order Schrödinger equations. This extends the first rigorous results on blowing-up solutions for the biharmonic nonlinear Schrödinger due to Boulenger and Lenzmann [8] and confirm numerical conjectures from [1-3, 11].