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Small data global
regularity for half-wave maps
Joachim Krieger and Yannick Sire |
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Vol. 11 (2018), No. 3, 661–682
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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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Authors |
| Joachim Krieger | |
| Bâtiment des Mathématiques EPFL Lausanne Switzerland |
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| Yannick Sire | |
| Department of Mathematics Johns Hopkins University Baltimore, MD United States |
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