Asymptotics of the spectrum of the mixed boundary value problem for the Laplace operator in a thin spindle-shaped domain

DOI10.1090/spmj/1701zbMath1485.35310OpenAlexW4214898777MaRDI QIDQ5064493

Jari Taskinen, Sergueï A. Nazarov

Publication date: 16 March 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1701

zbMATH Keywords

boundary layersasymptotics of eigenvaluesselfadjoint extensionsspindle-shaped thin domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Cites Work

• Simple Neumann eigenvalues for the Laplace operator in a domain with a small hole
• Elliptic problems in domains with piecewise smooth boundaries
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
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• ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
• The theory of extensions and explicitly-soluble models
• The Neumann problem for selfadjoint elliptic systems in a domain with piecewise-smooth boundary
• A BOUNDARY VALUE PROBLEM FOR THE ELLIPTIC EQUATION OF SECOND ORDER IN A DOMAIN WITH A NARROW SLIT. 1. THE TWO-DIMENSIONAL CASE
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• SELFADJOINT EXTENSIONS OF THE DIRICHLET PROBLEM OPERATOR IN WEIGHTED FUNCTION SPACES
• On the Linear Water Wave Problem in the Presence of a Critically Submerged Body
• Asymptotic analysis of an elastic rod with rounded ends
• Asymptotic behavior of the solutions of the Dirichlet problem for the Laplace operator in a domain with a small hole. A functional analytic approach
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