Strong Instability of Ground States to a Fourth Order Schrödinger Equation

By Denis Bonheure, Jean-Baptiste Casteras, Tianxiang Gou, Louis Jeanjean. 2017

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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 Schrodinger equations. This extends the first rigorous results on blowing-up solutions for the biharmonic nonlinear Schrodinger due to Boulenger and Lenzmann [8] and confirm numerical conjectures from [1–3, 11].

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9cf85ccf2886e3274ba22ff353646302cb109c71