Krieger, JoachimSire, Yannick2016-10-062016-10-062016-10-06201810.2140/apde.2018.11.661https://infoscience.epfl.ch/handle/20.500.14299/129663WOS:000429120500004We 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.Wave equationFractional wave mapsSmall data global regularity for half-wave mapstext::journal::journal article::research article