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

Volker BrandingKlaus Kröncke
Published in: Calculus of variations and partial differential equations (2018)
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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