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 self-similar solutions of semilinear wave equations in higher space dimensions.Applied mathematics and computation, 217(22):9451–9466, 2011
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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.