Seminar Analysis: Dominik Himmelsbach (University of Basel)

Blowup for Fractional NLS

In this talk, we give sufficient criteria for blowup of solutions to nonlocal Schrödinger equations with focusing power-type nonlinearity. To give an outline of the arguments used in the proof, let us mainly focus on the mass-supercritical problem posed on the whole space Rⁿ with prescribed radial initial datum of negative energy.

This is a joint work with Thomas Boulenger and Enno Lenzmann

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