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The Chern-Simons-Higgs and the Chern-Simons-Dirac equations in Fourier-Lebesgue spaces
The Chern-Simons-Higgs and the Chern-Simons-Dirac systems in Lorenz gauge are locally well-posed in suitable Fourier-Lebesgue spaces $ \hat{H}^{s, r} $. Our aim is to minimize $ s = s(r) $ in the range $ 1<r \le 2 $. If $ r \to 1 $ we show that we almost reach …