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Local well-posedness of the coupled Yang-Mills and Dirac system in temporal gauge
Hartmut Pecher
We consider the classical Yang-Mills system coupled with a Dirac equation in 3+1 dimensions in temporal gauge. Using that most of the nonlinear terms fulfill a null condition we pr…
Local well-posedness for the Maxwell-Chern-Simons-Higgs system in Fourier-Lebesgue spaces
Hartmut Pecher
We consider local well-posedness for the Maxwell-Chern-Simons-Higgs system in Lorenz gauge for data with minimal regularity assumptions in Fourier-Lebesgue spaces $\widehat{H}^{s,r…
Local well-posedness for the Maxwell-Dirac system in temporal gauge
Hartmut Pecher
We consider the low regularity well-posedness problem for the Maxwell-Dirac system in n+1 dimensions in the cases and : \begin{align*} \partial^μ F_{μν} & = - \langle ψ…
Local well-posedness of the coupled Yang-Mills and Dirac system for low regularity data
Hartmut Pecher
We consider the classical Yang-Mills system coupled with a Dirac equation in 3+1 dimensions. Using that most of the nonlinear terms fulfill a null condition we prove local well-pos…