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Blowup stability at optimal regularity for the critical wave equation

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arxiv 1811.08130 v1 pith:VDPNIGIF submitted 2018-11-20 math.AP math-phmath.MP

classification math.APmath-phmath.MP
keywords blowupequationstabilitywaveasymptoticcoordinatescriticaldimensions
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We establish Strichartz estimates for the radial energy-critical wave equation in 5 dimensions in similarity coordinates. Using these, we prove the nonlinear asymptotic stability of the ODE blowup in the energy space.

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  1. Strichartz estimates for the one-dimensional wave equation

    math.AP 2019-08 accept novelty 7.0 of 10

    Strichartz estimates hold for the radiation part of the 1D wave equation with a potential in hyperboloidal coordinates for odd data, giving asymptotic stability of a Yang-Mills connection on a wormhole.

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