Improved well-posedness results for the Maxwell-Klein-Gordon system in 2D
Improved well-posedness results for the Maxwell-Klein-Gordon system in 2D
<p style='text-indent:20px;'>The local well-posedness problem for the Maxwell-Klein-Gordon system in Coulomb gauge as well as Lorenz gauge is treated in two space dimensions for data with minimal regularity assumptions. In the classical case of data in <inline-formula><tex-math id="M1">\begin{document}$ L^2 $\end{document}</tex-math></inline-formula>-based Sobolev spaces <inline-formula><tex-math id="M2">\begin{document}$ H^s $\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M3">\begin{document}$ H^l …