Establishes nonlinear stability for continuously self-similar naked singularities in the Einstein-scalar field system under same-regularity perturbations in a localized Hölder topology, contrasting prior instability results under rough perturbations.
On stable self-similar blowup for corotational wave maps and equivariant yang-mills connections
2 Pith papers cite this work. Polarity classification is still indexing.
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Mode stability without symmetry assumptions is proved for self-similar wave map blowups in all dimensions d ≥ 4.
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Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations I: main results
Establishes nonlinear stability for continuously self-similar naked singularities in the Einstein-scalar field system under same-regularity perturbations in a localized Hölder topology, contrasting prior instability results under rough perturbations.
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Mode stability of self-similar wave maps without symmetry in higher dimensions
Mode stability without symmetry assumptions is proved for self-similar wave map blowups in all dimensions d ≥ 4.