On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces

We study the evolution equations for a regularized version of Dirac-harmonic maps from closed Riemannian surfaces. We establish the existence of a global weak solution for the regularized problem, which is smooth away from finitely many singularities. Moreover, we discuss the convergence of the evol...

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Detalles Bibliográficos
Autor principal: Branding, Volker
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7080694/
https://www.ncbi.nlm.nih.gov/pubmed/32214888
http://dx.doi.org/10.1007/s00025-020-1178-5
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author Branding, Volker
author_facet Branding, Volker
author_sort Branding, Volker
collection PubMed
description We study the evolution equations for a regularized version of Dirac-harmonic maps from closed Riemannian surfaces. We establish the existence of a global weak solution for the regularized problem, which is smooth away from finitely many singularities. Moreover, we discuss the convergence of the evolution equations and address the question if we can remove the regularization in the end.
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spelling pubmed-70806942020-03-23 On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces Branding, Volker Results Math Article We study the evolution equations for a regularized version of Dirac-harmonic maps from closed Riemannian surfaces. We establish the existence of a global weak solution for the regularized problem, which is smooth away from finitely many singularities. Moreover, we discuss the convergence of the evolution equations and address the question if we can remove the regularization in the end. Springer International Publishing 2020-03-18 2020 /pmc/articles/PMC7080694/ /pubmed/32214888 http://dx.doi.org/10.1007/s00025-020-1178-5 Text en © The Author(s) 2020 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/.
spellingShingle Article
Branding, Volker
On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces
title On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces
title_full On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces
title_fullStr On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces
title_full_unstemmed On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces
title_short On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces
title_sort on the evolution of regularized dirac-harmonic maps from closed surfaces
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7080694/
https://www.ncbi.nlm.nih.gov/pubmed/32214888
http://dx.doi.org/10.1007/s00025-020-1178-5
work_keys_str_mv AT brandingvolker ontheevolutionofregularizeddiracharmonicmapsfromclosedsurfaces

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