Asymptotics of the solution of the Steklov spectral problem in a domain with a blunted peak

DOI10.1134/S0001434609090314zbMath1185.35156MaRDI QIDQ1048606

Sergueï A. Nazarov

Publication date: 12 January 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceLaplace operatorSteklov spectral problemdomain with a blunted peak

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) General theory of partial differential operators (47F05)

Related Items (7)

Simple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach ⋮ Perturbation of the Steklov problem on a small part of the boundary ⋮ Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition ⋮ Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary ⋮ On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary ⋮ ‘Blinking’ and ‘gliding’ eigenfrequencies of oscillations of elastic bodies with blunted cuspidal sharpenings ⋮ Multiple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach

Cites Work

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• Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues

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