Vol. 11, No. 3, 2018

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Small data global regularity for half-wave maps

Joachim Krieger and Yannick Sire

Vol. 11 (2018), No. 3, 661–682
Abstract

We formulate the half-wave maps problem with target S2 and prove global regularity in sufficiently high spatial dimensions for a class of small critical data in Besov spaces.

Keywords
wave equation, fractional wave maps, half-wave maps, Besov spaces, global regularity
Mathematical Subject Classification 2010
Primary: 35L05, 35B40, 35A01
Milestones
Received: 22 October 2016
Revised: 17 May 2017
Accepted: 23 September 2017
Published: 22 November 2017
Authors
Joachim Krieger
Bâtiment des Mathématiques
EPFL
Lausanne
Switzerland
Yannick Sire
Department of Mathematics
Johns Hopkins University
Baltimore, MD
United States