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A fractional version of Rivière’s GL(n)-gauge
We prove that for antisymmetric vector field [Formula: see text] with small [Formula: see text] -norm there exists a gauge [Formula: see text] such that [Formula: see text] This extends a celebrated theorem by Rivière to the nonlocal case and provides conservation laws for a class of nonlocal equati...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9293877/ https://www.ncbi.nlm.nih.gov/pubmed/35875187 http://dx.doi.org/10.1007/s10231-021-01180-9 |
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author | Da Lio, Francesca Mazowiecka, Katarzyna Schikorra, Armin |
author_facet | Da Lio, Francesca Mazowiecka, Katarzyna Schikorra, Armin |
author_sort | Da Lio, Francesca |
collection | PubMed |
description | We prove that for antisymmetric vector field [Formula: see text] with small [Formula: see text] -norm there exists a gauge [Formula: see text] such that [Formula: see text] This extends a celebrated theorem by Rivière to the nonlocal case and provides conservation laws for a class of nonlocal equations with antisymmetric potentials, as well as stability under weak convergence. |
format | Online Article Text |
id | pubmed-9293877 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-92938772022-07-20 A fractional version of Rivière’s GL(n)-gauge Da Lio, Francesca Mazowiecka, Katarzyna Schikorra, Armin Ann Mat Pura Appl Article We prove that for antisymmetric vector field [Formula: see text] with small [Formula: see text] -norm there exists a gauge [Formula: see text] such that [Formula: see text] This extends a celebrated theorem by Rivière to the nonlocal case and provides conservation laws for a class of nonlocal equations with antisymmetric potentials, as well as stability under weak convergence. Springer Berlin Heidelberg 2021-12-14 2022 /pmc/articles/PMC9293877/ /pubmed/35875187 http://dx.doi.org/10.1007/s10231-021-01180-9 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Da Lio, Francesca Mazowiecka, Katarzyna Schikorra, Armin A fractional version of Rivière’s GL(n)-gauge |
title | A fractional version of Rivière’s GL(n)-gauge |
title_full | A fractional version of Rivière’s GL(n)-gauge |
title_fullStr | A fractional version of Rivière’s GL(n)-gauge |
title_full_unstemmed | A fractional version of Rivière’s GL(n)-gauge |
title_short | A fractional version of Rivière’s GL(n)-gauge |
title_sort | fractional version of rivière’s gl(n)-gauge |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9293877/ https://www.ncbi.nlm.nih.gov/pubmed/35875187 http://dx.doi.org/10.1007/s10231-021-01180-9 |
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