Outline
DOI: 10.1137/25m1807484 ISSN: 0036-1410
Self-Similar Blowup for Mass Supercritical Schrödinger Equations
Roland Donninger, Lorenz LichtneckerAbstract.
We consider the focusing nonlinear Schrödinger equation in three spatial dimensions with powers close to 3 and prove the existence of a self-similar solution. This generalizes a previous result on the cubic case and shows that self-similar blowup is stable under perturbations of the equation.
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