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arxiv: 1706.05971 · v2 · pith:A7ALK5U6new · submitted 2017-06-19 · 🧮 math.DG · math-ph· math.AP· math.MP

Energy methods for Dirac-type equations in two-dimensional Minkowski space

classification 🧮 math.DG math-phmath.APmath.MP
keywords dirac-typeequationsenergymethodsminkowskispacetwo-dimensionalarticle
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In this article we develop energy methods for a large class of linear and nonlinear Dirac-type equations in two-dimensional Minkowski space. We will derive existence results for several Dirac-type equations originating in quantum field theory, in particular for Dirac-wave maps to compact Riemannian manifolds.

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