Local well-posedness for the 3D Maxwell-Klein-Gordon system in Lorenz gauge is established in Fourier-Lebesgue spaces with regularity s=5/(2r)-1/2+δ, which is almost optimal under scaling as r→1.
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Almost optimal local well-posedness for the Maxwell-Klein-Gordon system with data in Fourier-Lebesgue spaces
Local well-posedness for the 3D Maxwell-Klein-Gordon system in Lorenz gauge is established in Fourier-Lebesgue spaces with regularity s=5/(2r)-1/2+δ, which is almost optimal under scaling as r→1.