Remarks on trace estimates for exterior boundary problems

DOI10.1080/03605308408820332zbMath0553.35022OpenAlexW2084025465MaRDI QIDQ3346644

Gerd Grubb

Publication date: 1984

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308408820332

zbMATH Keywords

selfadjointSchatten classoperator functionspositiveuniformly elliptictrace estimatespseudo-differential boundary problemsspectrally negligible

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05) Boundary value problems for PDEs with pseudodifferential operators (35S15)

Related Items

Spectral enclosures for non-self-adjoint extensions of symmetric operators, Spectral estimates for resolvent differences of self-adjoint elliptic operators, A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains, Perturbation of essential spectra of exterior elliptic problems, Singular Green operators and their spectral asymptotics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analogue of Weyl's formula for unbounded domains. III: An epilogue
• On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems
• On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators
• Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators
• Asymptotic behavior of the Green's functions and spectral function of an elliptic operator
• Boundary problems for pseudo-differential operators
• An asymptotic expansion for the heat equation
• Asymptotic behalrior of the scattering phase for exterior domains
• La relation de possion pour l'equation des ondes dans un ouvert non borne application a la theorie de la diffusion
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Classes of Compact Operators and Eigenvalue Distributions for Elliptic Operators
• The Resolvent of an Elliptic Boundary Problem
• Analytic Extension of the Trace Associated with Elliptic Boundary Problems