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Global Regularity For The Yangmills Equations On High Dimensional Minkowski Space Joachim Krieger

  • SKU: BELL-5250762
Global Regularity For The Yangmills Equations On High Dimensional Minkowski Space Joachim Krieger
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Global Regularity For The Yangmills Equations On High Dimensional Minkowski Space Joachim Krieger instant download after payment.

Publisher: Amer Mathematical Society
File Extension: PDF
File size: 1.07 MB
Pages: 111
Author: Joachim Krieger, Jacob Sterbenz
ISBN: 9780821844892, 082184489X
Language: English
Year: 2013

Product desciption

Global Regularity For The Yangmills Equations On High Dimensional Minkowski Space Joachim Krieger by Joachim Krieger, Jacob Sterbenz 9780821844892, 082184489X instant download after payment.

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

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