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Abstract
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We formulate the half-wave maps problem with target
and
prove global regularity in sufficiently high spatial dimensions for a class of small
critical data in Besov spaces.
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Keywords
wave equation, fractional wave maps, half-wave maps, Besov
spaces, global regularity
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Mathematical Subject Classification 2010
Primary: 35L05, 35B40, 35A01
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Milestones
Received: 22 October 2016
Revised: 17 May 2017
Accepted: 23 September 2017
Published: 22 November 2017
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