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arxiv: 1103.4725 · v3 · pith:5342WSN2new · submitted 2011-03-24 · 🧮 math.AP

Magnetic Virial and applications to blow up for Schr\"odinger and wave equations

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keywords blowequationsfocusingnonlinearodingerschrwaveapplications
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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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