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Local well-posedness for low regularity data for the higher dimensional Maxwell-Klein-Gordon system in Lorenz gauge
The Cauchy problem for the Maxwell-Klein-Gordon equations in the Lorenz gauge in n space dimensions (n ≥ 4) is shown to be locally well-posed for low regularity (large) data. The result relies on the null structure for the main bilinear terms, which was shown to be present not only in …