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arxiv: 2201.11419 · v1 · pith:UFM5VPJ4 · submitted 2022-01-27 · math.AP · math-ph· math.MP

Optimal blowup stability for supercritical wave maps

Roland Donninger , David Wallauch This is my paper

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classification math.AP math-phmath.MP
keywords wavemapsspacestabilityblowupcorotationalcriticaldimensional
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We study corotational wave maps from $(1+4)$-dimensional Minkowski space into the $4$-sphere. We prove the stability of an explicitly known self-similar wave map under perturbations that are small in the critical Sobolev space.

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