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Local well-posedness for the space-time Monopole equation in Lorenz gauge
Journal article   Peer reviewed

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

Nikolaos Bournaveas and Timothy Candy
Nonlinear differential equations and applications, Vol.19(1), pp.67-78
01/02/2012
DOI: https://doi.org/10.1007/s00030-011-0118-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
It is known from Czubak (Anal PDE 3(2): 151-174, 2010) that the space-time Monopole equation is locally well-posed in the Coulomb gauge for small initial data in H(s)(R(2)) for s > 1/4. Here we prove local well-posedness for arbitrary initial data in H s (R(2)) with s > 1/4 in the Lorenz gauge.
url
https://doi.org/10.1007/s00030-011-0118-1View
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