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

Released on by Joachim Krieger
preview-18

  • Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space Book Detail

  • Author : Joachim Krieger
  • Release Date : 2013-04-22
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 111
  • ISBN 13 : 082184489X
  • File Size : 54,54 MB
DOWNLOAD BOOK

Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space by Joachim Krieger PDF Summary

Book Description: 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 $\dot{H}_A^{(n-4)/{2}}$. 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 $L^p$ spaces, and also proving some bilinear estimates in specially constructed square-function spaces.

Disclaimer: www.yourbookbest.com does not own Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.