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

ABSTRACT: 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.

SUBMITTER: Branding V 

PROVIDER: S-EPMC6190925 | biostudies-other | 2018

REPOSITORIES: biostudies-other

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

Branding Volker V   Kröncke Klaus K  

Calculus of variations and partial differential equations 20180720 5

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. ...[more]