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arXiv · 1211.3527

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

Joachim Krieger·Jacob Sterbenz·Daniel Tataru
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Abstract

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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Joachim Krieger, Jacob Sterbenz, Daniel Tataru. 2012-11-15. Global well-posedness for the Maxwell-Klein Gordon equation in 4+1 dimensions. Small energy. https://doi.org/10.1215/00127094-2885982

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