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arxiv: 2204.03388 · v2 · pith:DF5GTRLV · submitted 2022-04-07 · math.AP · math-ph· math.MP

Strichartz estimates and Blowup stability for energy critical nonlinear wave equations

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classification math.AP math-phmath.MP
keywords waveblowupcriticalenergyequationestimatesnonlinearradial
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We prove Strichartz estimates in similarity coordinates for the radial wave equation with a self similar potential in dimensions $d\geq 3$. As an application of these, we establish the asymptotic stability of the ODE blowup profile of the energy critical radial nonlinear wave equation for $3\leq d\leq 6$.

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