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arXiv 2012-11-15 DOI 10.1215/00127094-2885982 0 views

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

Krieger, Joachim · Sterbenz, Jacob · Tataru, Daniel

Original · EN

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

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