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20072023
most citedBlow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on

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math.AP2014

On the interpolation with the potential bound for global solutions of the defocusing cubic wave equation on T2

Tristan Roy

We prove that the solutions of the defocusing cubic wave equation on T2 exist globally in time in Hs(T2) for s > 2/5 by contradiction. Assuming that one of the maximal times of exi…