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Small data global regularity for half-wave maps in n = 4 dimensions
Communications in Partial Differential Equations ( IF 2.1 ) Pub Date : 2021-06-15 , DOI: 10.1080/03605302.2021.1936021 Anna Kiesenhofer 1 , Joachim Krieger 1
中文翻译:
n = 4 维半波图的小数据全局规律
更新日期:2021-06-15
Communications in Partial Differential Equations ( IF 2.1 ) Pub Date : 2021-06-15 , DOI: 10.1080/03605302.2021.1936021 Anna Kiesenhofer 1 , Joachim Krieger 1
Affiliation
Abstract
We prove that the half-wave maps problem on 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 proved by Tataru for wave maps.
中文翻译:
n = 4 维半波图的小数据全局规律
摘要
我们证明了半波映射问题 目标S 2对于平滑初始数据是全局适定的,这些数据在基于临界l 1的 Besov 空间中很小。这是 Tataru 证明的波图结果的形式模拟。