Estimates of \(s\)-numbers and spectral asymptotics for integral operators of potential type on nonsmooth surfaces

DOI10.1007/BF02509448zbMath0895.47014OpenAlexW2036570969MaRDI QIDQ677677

B. A. Amosov, M. S. Agranovich

Publication date: 7 September 1998

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02509448

zbMATH Keywords

asymptoticseigenvaluessingular numberspseudodifferential operator\(s\)-numbersalmost smooth surfaceintegral operators of potential type

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Integral operators (47G10) Pseudodifferential operators (47G30)

Related Items (12)

Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials ⋮ Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1 ⋮ On a mixed Poincaré-Steklov type spectral problem in a Lipschitz domain ⋮ Eigenvalue asymptotics for potential type operators on Lipschitz surfaces ⋮ Strongly elliptic second-order systems with boundary conditions on a nonclosed Lipschitz surface ⋮ Mixed problems in a Lipschitz domain for strongly elliptic second-order systems ⋮ Spectral problems in Lipschitz domains ⋮ Connes' integration and Weyl's laws ⋮ Weyl's law for the Steklov problem on surfaces with rough boundary ⋮ Weyl asymptotics for Poincaré-Steklov eigenvalues in a domain with Lipschitz boundary ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Eigenvalues of the Birman-Schwinger operator for singular measures: the noncritical case

Cites Work

• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• The inhomogeneous Dirichlet problem in Lipschitz domains
• One-dimensional cohomologies of discrete subgroups
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Spectral boundary value problems for the Helmholtz equation with spectral parameter in boundary conditions on a non-smooth surface
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