Regularity and index theory for Dirac-Schrödinger systems with Lipschitz coefficients

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

Dirac-Schr\"{o}dinger systems play a central role when modeling Dirac bundles
and Dirac-Schr\"{o}dinger operators near the boundary, along ends or near other
singularities of Riemannian manifolds. In this article we develop the Fredholm
theory of Dirac-Schr\"{o}dinger systems with Lipschitz coefficients.

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