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

Werner Ballmann (1) , Jochen Brüning (2) , Gilles Carron (3)

1 Mathematisches Institut der Universität Bonn
2 Institut für Mathematik [Berlin]
3 LMJL - Laboratoire de Mathématiques Jean Leray

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

Mots clés: Dirac-Schrödinger system; boundary condition; index

Domaines: Equations aux dérivées partielles [math.AP]

Werner Ballmann, Jochen Brüning, Gilles Carron. Regularity and index theory for Dirac-Schrödinger systems with Lipschitz coefficients. Journal de Mathématiques Pures et Appliquées, 2008, 89 (5), pp.429--476. ⟨hal-00135187⟩