0000000000821666
AUTHOR
Denis Bonheure
Strong Instability of Ground States to a Fourth Order Schrödinger Equation
Abstract 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].
Normalized solutions to the mixed dispersion nonlinear Schr��dinger equation in the mass critical and supercritical regime
In this paper, we study the existence of solutions to the mixed dispersion nonlinear Schrödinger equation γΔ2u − Δu + αu =