Global existence of Dirac-wave maps with curvature term on expanding spacetimes

We prove the global existence of Dirac-wave maps with curvature term with small initial data on globally hyperbolic manifolds of arbitrary dimension which satisfy a suitable growth condition. In addition, we also prove a global existence result for wave maps under similar assumptions.

Detalles Bibliográficos
Autores principales: Branding, Volker, Kröncke, Klaus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6190925/
https://www.ncbi.nlm.nih.gov/pubmed/30393442
http://dx.doi.org/10.1007/s00526-018-1389-8
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author Branding, Volker
Kröncke, Klaus
author_facet Branding, Volker
Kröncke, Klaus
author_sort Branding, Volker
collection PubMed
description We prove the global existence of Dirac-wave maps with curvature term with small initial data on globally hyperbolic manifolds of arbitrary dimension which satisfy a suitable growth condition. In addition, we also prove a global existence result for wave maps under similar assumptions.
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spelling pubmed-61909252018-10-31 Global existence of Dirac-wave maps with curvature term on expanding spacetimes Branding, Volker Kröncke, Klaus Calc Var Partial Differ Equ Article We prove the global existence of Dirac-wave maps with curvature term with small initial data on globally hyperbolic manifolds of arbitrary dimension which satisfy a suitable growth condition. In addition, we also prove a global existence result for wave maps under similar assumptions. Springer Berlin Heidelberg 2018-07-20 2018 /pmc/articles/PMC6190925/ /pubmed/30393442 http://dx.doi.org/10.1007/s00526-018-1389-8 Text en © The Author(s) 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Branding, Volker
Kröncke, Klaus
Global existence of Dirac-wave maps with curvature term on expanding spacetimes
title Global existence of Dirac-wave maps with curvature term on expanding spacetimes
title_full Global existence of Dirac-wave maps with curvature term on expanding spacetimes
title_fullStr Global existence of Dirac-wave maps with curvature term on expanding spacetimes
title_full_unstemmed Global existence of Dirac-wave maps with curvature term on expanding spacetimes
title_short Global existence of Dirac-wave maps with curvature term on expanding spacetimes
title_sort global existence of dirac-wave maps with curvature term on expanding spacetimes
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6190925/
https://www.ncbi.nlm.nih.gov/pubmed/30393442
http://dx.doi.org/10.1007/s00526-018-1389-8
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AT kronckeklaus globalexistenceofdiracwavemapswithcurvaturetermonexpandingspacetimes

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