activity
20002021
most citedLow regularity well-posedness for the one-dimensional Dirac - Klein - Gordon system

15 citations · 47 across the 37 of their papers we have counts for

collaborators

44 papers

math.AP2021

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…

math.AP2021

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…

math.AP2021

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…

math.AP2021

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…

math.AP2020

Improved well-posedness results for the Maxwell-Klein-Gordon system in 2D

Hartmut Pecher

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 as…

math.AP2020

Low regularity well-posedness for the Yang-Mills system in 2D

Hartmut Pecher

The Cauchy problem for the Yang-Mills system in two space dimensions is treated for data with minimal regularity assumptions. In the classical case of data in -based Sobolev s…