Small-data Maxwell–Higgs fields on Schwarzschild admit global existence and nonlinear scattering; on slowly rotating Kerr the same is proved conditional on external linear and spectral estimates.
Shlapentokh-Rothman, Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes,Comm
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Coulomb Sectors and Scattering for Maxwell-Higgs Fields on Schwarzschild and Slowly Rotating Kerr Backgrounds
Small-data Maxwell–Higgs fields on Schwarzschild admit global existence and nonlinear scattering; on slowly rotating Kerr the same is proved conditional on external linear and spectral estimates.