Ask a Question

Large data decay of Yang–Mills–Higgs fields on Minkowski and de Sitter spacetimes

Large data decay of Yang–Mills–Higgs fields on Minkowski and de Sitter spacetimes

In this article, we extend Eardley and Moncrief’s L∞ estimates [Commun. Math. Phys. 83(2), 193–212 (1982)] for the conformally invariant Yang–Mills–Higgs equations to the Einstein cylinder. Our method is to first work on Minkowski space and localize their estimates and then carry them to the Einstein cylinder by a conformal …