Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space (BOK)

Joachim Krieger, Jacob Sterbenz

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This monograph contains a study of the global Cauchy problem for the Yang-Mills equations on (6+1) and higher dimensional Minkowski space, when the initial data sets are small in the critical gauge covariant Sobolev space H?(n?4)/2A. Regularity is obtained through a certain "microlocal geometric renormalization" of the equations which is implemented via a family of approximate null Cronstrom gauge transformations. The argument is then reduced to controlling some degenerate elliptic equations in high index and non-isotropic Lp spaces, and also proving some bilinear estimates in specially constructed square-function spaces.


Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2013 Forfatter Jacob Sterbenz, Joachim Krieger
Turpin DEDS Orphans
ISBN 9780821844892
Antall sider 99 Leverandør Bertram Trading Ltd
Emner og form Differential calculus & equations