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arxiv: 1602.08163 · v1 · pith:DKN7JA2Pnew · submitted 2016-02-26 · 🧮 math.AP

Large Initial Data Global Well-Posedness for a Supercritical Wave Equation

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keywords equationdataglobalinitiallargeoutgoingwavearbitrary
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We prove the existence of global solutions to the focusing energy-supercritical semilinear wave equation in R^{3+1} for arbitrary outgoing large initial data, after we modify the equation by projecting the nonlinearity on outgoing states.

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