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arxiv: 1407.1177 · v2 · pith:E4LQ66VEnew · submitted 2014-07-04 · 🧮 math.AP

Global solvability of massless Dirac-Maxwell systems

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keywords dirac-maxwellglobalmasslessanalogousappropriateasymptoticallybackgroundcauchy
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We consider the Cauchy problem of massless Dirac-Maxwell equations on an asymptotically flat background and give a global existence and uniqueness theorem for initial values small in an appropriate weighted Sobolev space. The result can be extended via analogous methods to Dirac-Higgs-Yang-Mills theories.

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