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arXiv · 1110.6342

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

Nikolaos Bournaveas·Timothy Candy
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Abstract

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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Nikolaos Bournaveas, Timothy Candy. 2011-10-28. Local well-posedness for the space-time Monopole equation in Lorenz gauge. https://doi.org/10.1007/s00030-011-0118-1

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