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arXiv · 2503.04425

Stable blowup for supercritical wave maps into perturbed spheres

Roland Donninger·Birgit Schörkhuber·Alexander Wittenstein
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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 $\mathbb S^d$. 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.

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Roland Donninger, Birgit Schörkhuber, Alexander Wittenstein. 2025-03-06. Stable blowup for supercritical wave maps into perturbed spheres. https://arxiv.org/abs/2503.04425

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