Small data global regularity for half-wave maps in n = 4 dimensions

2019/04/29 by Kiesenhofer, Anna, Krieger, Joachim
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.12709

Abstract

We prove that the half-wave maps problem on ℝ⁴⁺¹ with target S² is globally well-posed for smooth initial data which are small in the critical l¹ based Besov space. This is a formal analogue of the result for wave maps by Tataru.

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