Boundary value problems for Dirac-type equations

Robert A. Bartnik, Piotr T. Chruściel
2005 Journal für die Reine und Angewandte Mathematik  
We prove regularity for a class of boundary value problems for first order elliptic systems, with boundary conditions determined by spectral decompositions, under coefficient differentiability conditions weaker than previously known. We establish Fredholm properties for Dirac-type equations with these boundary conditions. Our results include sharp solvability criteria, over both compact and non-compact manifolds; weighted Poincaré and Schrödinger-Lichnerowicz inequalities provide asymptotic
more » ... vide asymptotic control in the non-compact case.
doi:10.1515/crll.2005.2005.579.13 fatcat:acf3xiqo6nd45nfoaacqjfbona