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
_version_ 1784590864771710976
author Kiesenhofer, Anna
Krieger, Joachim
author_facet Kiesenhofer, Anna
Krieger, Joachim
author_sort Kiesenhofer, Anna
collection PubMed
description 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.
format Online
Article
Text
id pubmed-8549970
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher Taylor & Francis
record_format MEDLINE/PubMed
spelling pubmed-85499702021-10-28 Small data global regularity for half-wave maps in n = 4 dimensions Kiesenhofer, Anna Krieger, Joachim Commun Partial Differ Equ Research Article 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. Taylor & Francis 2021-06-15 /pmc/articles/PMC8549970/ /pubmed/34720359 http://dx.doi.org/10.1080/03605302.2021.1936021 Text en © 2021 The Author(s). Published with license by Taylor and Francis Group, LLC https://creativecommons.org/licenses/by-nc-nd/4.0/This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/ (https://creativecommons.org/licenses/by-nc-nd/4.0/) ), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way.
spellingShingle Research Article
Kiesenhofer, Anna
Krieger, Joachim
Small data global regularity for half-wave maps in n = 4 dimensions
title Small data global regularity for half-wave maps in n = 4 dimensions
title_full Small data global regularity for half-wave maps in n = 4 dimensions
title_fullStr Small data global regularity for half-wave maps in n = 4 dimensions
title_full_unstemmed Small data global regularity for half-wave maps in n = 4 dimensions
title_short Small data global regularity for half-wave maps in n = 4 dimensions
title_sort small data global regularity for half-wave maps in n = 4 dimensions
topic Research Article
url 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
work_keys_str_mv AT kiesenhoferanna smalldataglobalregularityforhalfwavemapsinn4dimensions
AT kriegerjoachim smalldataglobalregularityforhalfwavemapsinn4dimensions

Ejemplares similares