Global Well-Posedness For The Maxwell-Klein-Gordon Equation In 4+1 Dimensions: Small Energy

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 norm. This reduces the problem of global regularity for large, smooth initial data to precluding concentration of energy.


Published in:
Duke Mathematical Journal, 164, 6, 973-1040
Year:
2015
Publisher:
Durham, Duke Univ Press
ISSN:
0012-7094
Laboratories:




 Record created 2015-05-29, last modified 2018-03-13

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