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.
Stable blow up dynamics for the critical co-rotational wave maps and equivariant yang-mills problems.Publications math´ ematiques de l’IH´ES, 115:1–122, 2012
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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.