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On Strichartz estimates and optimal blowup stability of supercritical wave equations
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We establish Strichartz estimates, including estimates involving spatial derivatives, for radial wave equations with potentials in similarity variables. This is accomplished for all spatial dimensions $d\geq 3$ and almost all regularities above energy and below the threshold $\frac d2$. These estimates provide a unified framework that allows one to derive optimal blowup stability result for a wide range of energy supercritical nonlinear wave equations. To showcase their usefulness, an optimal blowup stability result for the quintic nonlinear wave equation is also obtained.
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Cited by 1 Pith paper
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Stability of global self-similar solutions to the cubic wave equation and the wave maps equation
Global self-similar solutions to the cubic wave equation in 6D and corotational wave maps in 4D are orbitally stable under small critical Sobolev perturbations in forward time.
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