Invariant subspaces of elliptic systems. II: spectral theory

DOI10.4171/JST/402zbMath1486.35314arXiv2103.14334OpenAlexW4221068735MaRDI QIDQ2120170

Matteo Capoferri, Dmitri Vassiliev

Publication date: 31 March 2022

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14334

zbMATH Keywords

hyperbolic systemsinvariant subspacesspectral asymptoticselliptic systemspseudodifferential operators on manifoldspseudodifferential projections

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Invariant subspaces of linear operators (47A15) Elliptic equations on manifolds, general theory (58J05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Hyperbolic equations on manifolds (58J45) Pseudodifferential operators (47G30) Second-order elliptic systems (35J47) First-order elliptic systems (35J46) Higher-order elliptic systems (35J48)

Related Items

On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary ⋮ Topological obstructions to the diagonalisation of pseudodifferential systems ⋮ Global propagator for the massless Dirac operator and spectral asymptotics ⋮ The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity ⋮ Two-term spectral asymptotics in linear elasticity ⋮ Diagonalization of elliptic systems via pseudodifferential projections ⋮ Invariant subspaces of elliptic systems I: pseudodifferential projections ⋮ Møller operators and Hadamard states for Dirac fields with MIT boundary conditions

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