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Stable blowup for supercritical wave maps into perturbed spheres (2503.04425v1)
Published 6 Mar 2025 in math.AP, math.CA, and math.FA
Abstract: We consider wave maps from $(1+d)$-dimensional Minkowski space, $d\geq3$, into rotationally symmetric manifolds which arise from small perturbations of the sphere $\mathbb Sd$. We prove the existence of co-rotational self-similar finite time blowup solutions with smooth blowup profiles. Furthermore, we show the nonlinear asymptotic stability of these solutions under suitably small co-rotational perturbations on the full space.