Spectral stability and pseudospectrum of Kerr QNMs

open Spectral / Scattering

Statement

Quantify how Kerr resonances and pseudospectra move under small perturbations of the geometry or operator and identify transient-growth mechanisms associated with non-normality.

Mathematical prerequisites

Pseudospectral theory; non-selfadjoint semiclassics; resolvent norm growth; perturbation of resonances.

Why it matters

QNMs are not enough by themselves if non-normal transient amplification dominates some time windows.

Completion criteria

A complete answer must give either stability theorems or explicit instability mechanisms for resonance motion and pseudospectral growth under a stated perturbation class.

Implications if solved

Would sharpen the mathematical meaning of mode stability in non-selfadjoint black-hole problems.

Last updated: 2026-04-05 · Edit on GitHub →