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Global well-posedness for the Maxwell-Klein-Gordon equation in 4+1 dimensions: Small energy

  • Author(s): Krieger, J
  • Sterbenz, J
  • Tataru, D
  • et al.
Abstract

© 2015. We prove that the critical Maxwell-Klein-Gordon equation on ℝ4+1 is globally wellposed for smooth initial data which are small in the energy norm. This reduces the problem of global regularity for large, smooth initial data to precluding concentration of energy.

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