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Finite Energy Local Well-Posedness for the Yang–Mills–Higgs Equations in Lorenz Gauge

Finite Energy Local Well-Posedness for the Yang–Mills–Higgs Equations in Lorenz Gauge

The Yang–Mills–Higgs equations (Y–M–H), when written relative to Lorenz gauge, become a system of nonlinear wave equations. The key bilinear terms in the resulting system turn out to be null forms—this is in light of a recent discovery of null structure by Selberg and the present author for Yang–Mills equations …