On boundary value problems for Dirac type operators. I: Regularity and self-adjointness

DOI10.1006/jfan.2001.3753zbMath1023.58013arXivmath/9905181OpenAlexW1554087800MaRDI QIDQ5949549

Matthias Lesch, Jochen Brüning

Publication date: 4 November 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9905181

zbMATH Keywords

regularityboundary value problemsDirac type operatorsselfadjoint extension of the Dirac operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Boundary value problems on manifolds (58J32)

Related Items (21)

Boundary value problems for general first-order elliptic differential operators ⋮ On the domain of Dirac and Laplace type operators on stratified spaces ⋮ The spectral flow for Dirac operators on compact planar domains with local boundary conditions ⋮ The Maslov index in weak symplectic functional analysis ⋮ The KO-valued spectral flow for skew-adjoint Fredholm operators ⋮ Spectral triples and manifolds with boundary ⋮ The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions ⋮ Continuity of families of Calderón projections ⋮ Realisations of elliptic operators on compact manifolds with boundary ⋮ Regularity and index theory for Dirac-Schrödinger systems with Lipschitz coefficients ⋮ Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem ⋮ The Dirac equation on the anti-de-Sitter universe ⋮ Connes–Chern character for manifolds with boundary and eta cochains ⋮ The Maslov Index in Symplectic Banach Spaces ⋮ The Dirac system on the anti-de Sitter universe ⋮ The index formula and the spectral shift function for relatively trace class perturbations ⋮ Uniqueness for an inverse problem in electromagnetism with partial data ⋮ Resolvent trace asymptotics on stratified spaces ⋮ Inverse problems and index formulae for Dirac operators ⋮ The Calderón projection: New definition and applications ⋮ The APS-index and the spectral flow

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