Magnetic Virial and applications to blow up for Schrödinger and wave equations

Abstract

We prove blow up results for the solution of the initial value problem with negative energy of the focusing mass-critical and supercritical nonlinear Schrödinger and the focusing energy-subcritical nonlinear wave equations with electromagnetic potential.

arXiv comment16 pages, final version incorporating referee's comments. To appear in Journal of Physics A: Mathematical and Theoretical

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