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Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation. (English) Zbl 1378.35050

Authors’s abstract: We establish Strichartz estimates in similarity coordinates for the radial wave equation in three spatial dimensions with a (time-dependent) self-similar potential. As an application, we consider the critical wave equation and prove the asymptotic stability of the ordinary differential equations blowup profile in the energy space.

MSC:

35B45 A priori estimates in context of PDEs
35C06 Self-similar solutions to PDEs
35L71 Second-order semilinear hyperbolic equations
35B44 Blow-up in context of PDEs
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