On spectral properties of one boundary value problem with a surface energy dissipation

DOI10.13108/2017-9-2-3zbMath1463.35385OpenAlexW2738860162MaRDI QIDQ5136692

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Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa371

zbMATH Keywords

compact operatorquadratic operator pencilspectral parameterlocalization of eigenvaluesAbel-Lidskii basis propertySchatten-von-Neumann classes \(S_p\)

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Cites Work

• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Self\(adjoint\) quadratic operator pencils and elliptic problems
• Decay of solutions of wave equations in a bounded region with boundary dissipation
• Spectral analysis of the {R}egge problem
• On Lizorkin-Triebel type spaces of functions holomorphic in the polydisk
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Global attractors for von Karman evolutions with a nonlinear boundary dissipation.
• On Some Class of Self-adjoint Boundary Value Problems with the Spectral Parameter in the Equations and the Boundary Conditions
• Finite Dimensionality of the Attractor for a Semilinear Wave Equation with Nonlinear Boundary Dissipation
• Spectral theory for operators generated by elliptic boundary problems with eigenvalue parameter in boundary conditions, I
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