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Small data global regularity for half-wave maps. (English) Zbl 1380.35119
Summary: 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.

##### MSC:
 35L15 Initial value problems for second-order hyperbolic equations 35B40 Asymptotic behavior of solutions to PDEs 35A01 Existence problems for PDEs: global existence, local existence, non-existence 35R11 Fractional partial differential equations 35L71 Second-order semilinear hyperbolic equations
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