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Low regularity solutions for the (2+1) - dimensional Maxwell-Klein-Gordon equations in temporal gauge
Hartmut Pecher
The Maxwell-Klein-Gordon equations in 2+1 dimensions in temporal gauge are locally well-posed for low regularity data even below energy level. The corresponding (3+1)-dimensional c…
Low regularity solutions for Chern-Simons-Dirac systems in the temporal and Coulomb gauge
Hartmut Pecher
We prove low regularity local well-posedness results in Bourgain-Klainerman-Machedon spaces for the Chern-Simons-Dirac system in the temporal gauge and the Coulomb gauge. Under sli…
Local well-posedness for the (n+1)-dimensional Yang-Mills and Yang-Mills-Higgs system in temporal gauge
Hartmut Pecher
The Yang-Mills and Yang-Mills-Higgs equations in temporal gauge are locally well-posed for small and rough initial data, which can be shown using the null structure of the critical…
Unconditional global well-posedness in energy space for the Maxwell-Klein-Gordon system in temporal gauge
Hartmut Pecher
The Maxwell-Klein-Gordon system in temporal gauge is unconditionally globally well-posed in energy space, especially uniqueness holds in the natural solution space. This improves e…
Global well-posedness in energy space for the Chern-Simons-Higgs system in temporal gauge
Hartmut Pecher
The Cauchy problem for the Chern-Simons-Higgs system in the (2+1)-dimensional Minkowski space in temporal gauge is globally well-posed in energy space improving a result of Huh. Th…