Uniform Energy Bound for Maxwell-Higgs Equations on Reissner-Nordstr\"om
Spacetimes
Uniform Energy Bound for Maxwell-Higgs Equations on Reissner-Nordstr\"om
Spacetimes
In this paper, we prove the uniform energy bound for the Maxwell-Higgs system in the exterior region of Reissner-Nordstr\"om black holes. By employing an integrated local energy decay (ILED) estimate in combination with the Sobolev embedding theorem on a compact Riemannian manifold, we derived $L^\infty$ bounds for the fields. These …