Proves global nonlinear stability of subextremal Kerr black holes, with solutions settling to a nearby Kerr member at rate O(t_*^{-2-ε_K}) from initial data with O(r^{-1-ε0}) decay.
II 281 [Vas21a] Andr´ as Vasy
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4verdicts
UNVERDICTED 4representative citing papers
Establishes tame weighted Sobolev estimates for linear waves on dynamical asymptotically flat spacetimes settling to Kerr, handling zero-energy bound states via microlocal and energy methods to enable nonlinear global existence results.
An enhanced constraint damping property holds for the linearized Einstein equations on any subextremal Kerr metric.
Refines Brendle's ABP contact-set argument to prove Michael-Simon inequalities with lower-order terms for submanifolds in nonnegative-curvature manifolds under volume noncollapsing, plus an ABP proof of Varopoulos' L1-Sobolev inequality.
citing papers explorer
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Sobolev and Michael-Simon inequalities via the ABP method beyond Euclidean volume growth
Refines Brendle's ABP contact-set argument to prove Michael-Simon inequalities with lower-order terms for submanifolds in nonnegative-curvature manifolds under volume noncollapsing, plus an ABP proof of Varopoulos' L1-Sobolev inequality.