Concentration Compactness for the Critical Maxwell-Klein-Gordon Equation Academic Article uri icon

abstract

  • We prove global regularity, scattering and a priori bounds for the energy critical Maxwell-Klein-Gordon equation relative to the Coulomb gauge on (1+4)-dimensional Minkowski space. The proof is based upon a modified Bahouri-Gerard profile decomposition [1] and a concentration compactness/rigidity argument by Kenig-Merle [10], following the method developed by the first author and Schlag [20] in the context of critical wave maps.

published proceedings

  • Annals of PDE

author list (cited authors)

  • Krieger, J., & Lhrmann, J.

citation count

  • 16

complete list of authors

  • Krieger, Joachim||Lührmann, Jonas

publication date

  • January 2015