Perturbation of essential spectra of exterior elliptic problems

DOI10.1080/00036811003735907zbMath1208.35094arXiv0811.1724OpenAlexW2962809247MaRDI QIDQ3081422

Gerd Grubb

Publication date: 8 March 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1724

zbMATH Keywords

exterior domainessential spectrumSchatten classKrein formulasingular Green operatorspectrally negligible cutoffs

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spectrum, resolvent (47A10) Boundary value problems for PDEs with pseudodifferential operators (35S15)

Related Items (9)

Scattering matrices and Dirichlet-to-Neumann maps ⋮ Spectral shift functions and Dirichlet-to-Neumann maps ⋮ Resolvents for fractional-order operators with nonhomogeneous local boundary conditions ⋮ Elliptic differential operators on Lipschitz domains and abstract boundary value problems ⋮ Kreĭn-like extensions and the lower boundedness problem for elliptic operators ⋮ The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates ⋮ A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains ⋮ Spectral results for mixed problems and fractional elliptic operators ⋮ Inverse problems with partial data for elliptic operators on unbounded Lipschitz domains

Cites Work

• Singular Green operators and their spectral asymptotics
• Generalized \(Q\)-functions and Dirichlet-to-Neumann maps for elliptic differential operators
• On coerciveness and semiboundedness of general boundary problems
• Remarks on trace estimates for exterior boundary problems
• M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems

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