Small data global regularity for half-wave maps

Krieger, Joachim; Sire, Yannick

doi:10.2140/apde.2018.11.661

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Small data global regularity for half-wave maps

Joachim Krieger and Yannick Sire

Vol. 11 (2018), No. 3, 661–682

DOI: 10.2140/apde.2018.11.661

Abstract

We formulate the half-wave maps problem with target $S^{2}$ 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

Vol. 11, No. 3, 2018