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

Content Provider	SpringerLink
Author	Candy, Timothy Bournaveas, Nikolaos
Copyright Year	2011
Abstract	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 $${H^s(\mathbb{R}^2)}$$ for $${s>\frac{1}{4}}$$ . Here we prove local well-posedness for arbitrary initial data in $${H^s(\mathbb{R}^2)}$$ with $${s>\frac{1}{4}}$$ in the Lorenz gauge.
Ending Page	78
Page Count	12
Starting Page	67
File Format	PDF
ISSN	10219722
e-ISSN	14209004
Journal	Nonlinear Differential Equations and Applications NoDEA
Issue Number	1
Volume Number	19
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2011-05-27
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Lorenz gauge Nonlinear second-order hyperbolic equations Analysis Local well-posedness Yang-Mills and other gauge theories Monopole Null form
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

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