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

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

2011-03-24

arxiv.org/abs/1103.4725v3

Mathematics

Analysis of PDEs

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

Scientific paper

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

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