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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:
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
Descripción
Sumario: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.