On the optimal local regularity for gauge field theories
type: Item
instance of: scholarly article
title: On the optimal local regularity for gauge field theories
zbMATH Open document ID: 0940.35011
author: Sergiu Klainerman
author: M. Machedon
published in: Differential and Integral Equations
publication date: 2000-05-22T00:00:00Z
review text: The authors present the main estimates which allow to prove local well-posedness in \(H^s\), \(s>(n-2)/2\), in the case of the Maxwell-Klein-Gordon equations in \(n+1\) dimensions, \(n\geq 4\). For simplicity the relevance of these estimates is demonstrated for a model problem which exhibits all the main difficulties encountered in the Maxwell-Klein-Gordon equations relative to the Coulomb gauge.
Mathematics Subject Classification ID: 35A07
Mathematics Subject Classification ID: 35L10
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 1450165
zbMATH Keywords: Maxwell-Klein-Gordon equation
zbMATH Keywords: Yang-Mills equations
zbMATH Keywords: local regularity
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1450165