Global Well-Posedness For Half-Wave Maps With S-2 And H-2 Targets For Small Smooth Initial Data

Liu, Yang2023-02-272023-02-272023-02-272023-01-0110.3934/cpaa.2022148https://infoscience.epfl.ch/handle/20.500.14299/195140WOS:000924144300007We prove global well-posedness for the half-wave map with S-2 target for small H-n/2 x Hn/2-1 initial data. We also prove the global well-posedness for the equation with H-2 target for small smooth B-2,1(n/2) x B-2,1(n/2-1) initial data.Mathematics, AppliedMathematicsMathematicswave equationhalf-wave mapsglobal regularityfractional wave mapscritical sobolev spacenull formsregularityequationssystemschainGlobal Well-Posedness For Half-Wave Maps With S-2 And H-2 Targets For Small Smooth Initial Datatext::journal::journal article::research article