Local well-posedness for the space-time Monopole equation in Lorenz gauge

Details Local well-posedness for the space-time Monopole equation in Lorenz gauge Local well-posedness for the space-time Monopole equation in Lorenz gauge

2011-10-28

arxiv.org/abs/1110.6342v1

Mathematics

Analysis of PDEs

To appear in NoDEA

Scientific paper

10.1007/s00030-011-0118-1

It is known from the work of Czubak that the space-time Monopole equation is
locally well-posed in the Coulomb gauge for small initial data in
$H^s(\mathbb{R}^2)$ for $s>1/4$. Here we prove local well-posedness for
arbitrary initial data in $H^s(\mathbb{R^2})$ with $s>1/4$ in the Lorenz gauge.

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