K-404
Zero-frequency structure and tail universality
partial Spectral / Scattering
Statement
Relate the low-energy resolvent structure of Kerr operators to universal late-time tail laws, including logarithmic singularities and their coefficients.
Mathematical prerequisites
Low-energy microlocal analysis; Tauberian arguments; asymptotic inversion of Laplace/Fourier transforms.
Why it matters
The tail law is a spectral statement in disguise.
Completion criteria
A complete answer must provide explicit resolvent expansions and derive the corresponding time-domain asymptotics with sharp remainders.
Implications if solved
Would unify QNM language and Price-law language in a single framework.
Last updated: 2026-04-05 ·
Edit on GitHub →