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

We prove that the half-wave maps problem on [Image: see text] with target S(2) is globally well-posed for smooth initial data which are small in the critical l(1) based Besov space. This is a formal analogue of the result proved by Tataru for wave maps.

Detalles Bibliográficos
Autores principales: Kiesenhofer, Anna, Krieger, Joachim
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8549970/
https://www.ncbi.nlm.nih.gov/pubmed/34720359
http://dx.doi.org/10.1080/03605302.2021.1936021
Descripción
Sumario:We prove that the half-wave maps problem on [Image: see text] with target S(2) is globally well-posed for smooth initial data which are small in the critical l(1) based Besov space. This is a formal analogue of the result proved by Tataru for wave maps.

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