K-014
Nonlinear decay versus resonance expansions
open Exterior Stability
Statement
Relate late-time nonlinear Einstein dynamics near Kerr to a rigorous resonance/QNM plus tail expansion.
Mathematical prerequisites
Resonance theory; meromorphic resolvents; nonlinear normal forms; late-time asymptotics.
Why it matters
Linear ringdown expansions are useful, but the theorem-level nonlinear version is still missing.
Completion criteria
A complete answer must state when resonance expansions are asymptotic or convergent and bound the nonlinear remainder in explicit norms.
Implications if solved
Would connect PDE stability theory directly to mathematical models of ringdown.
Last updated: 2026-04-05 ·
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