Boundary value problems for Dirac--type equations, with applications

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dc.creatorChrusciel, P. T.
dc.creatorBartnik, R.
dc.date2003-07-21
dc.date.accessioned2026-07-07T04:59:48Z
dc.date.available2026-07-07T04:59:48Z
dc.descriptionWe 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 Poincare and Schroedinger-Lichnerowicz inequalities provide asymptotic control in the non-compact case. One application yields existence of solutions for the Witten equation with a spectral boundary condition used by Herzlich in his proof of a geometric lower bound for the ADM mass of asymptotically flat 3-manifolds.
dc.description86 A4 pages, various style files
dc.identifierhttps://arxiv.org/abs/math/0307278
dc.identifierhttp://arxiv.org/abs/math/0307278
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68134
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subject35J55; 58J32; 83C40
dc.titleBoundary value problems for Dirac--type equations, with applications
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