Local solutions with infinite energy of the Maxwell-Chern-Simons-Higgs system in Lorenz gauge

Hartmut  Pecher

doi:10.3934/dcds.2016.36.2193

Article Contents

2016, Volume 36, Issue 4: 2193-2204. Doi: 10.3934/dcds.2016.36.2193

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Local solutions with infinite energy of the Maxwell-Chern-Simons-Higgs system in Lorenz gauge

Hartmut Pecher^1,

1.
Fachbereich Mathematik und Naturwissenschaften, Bergische Universität Wuppertal, Gaußstr. 20, 42119 Wuppertal

Received: October 31, 2014

Revised: June 30, 2015

Published: May 2017

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Abstract

We consider the Maxwell-Chern-Simons-Higgs system in Lorenz gauge and use a null condition to show local well-psoedness for low regularity data. This improves a recent result of J. Yuan.

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Mathematics Subject Classification: 35Q40, 35L70.

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References

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