The index of some mixed order Dirac type operators and generalised Dirichlet-Neumann tensor fields

DOI10.1007/s00209-021-02947-9OpenAlexW3024887339MaRDI QIDQ2137868

Marcus Waurick, Dirk Pauly

Publication date: 11 May 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07996

zbMATH Keywords

cohomologyDirac operatorFredholm indexHilbert complexbiharmonic complexelasticity complexharmonic Dirichlet and Neumann tensorsPicard's extended Maxwell system

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) (Semi-) Fredholm operators; index theories (47A53) Fredholm structures on infinite-dimensional manifolds (58B15) Boundary value problems for linear higher-order PDEs (35G15) Maxwell equations (35Q61) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Well-posedness and exponential stability of nonlinear Maxwell equations for dispersive materials with interface ⋮ Hilbert complexes with mixed boundary conditions—Part 2: Elasticity complex

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