Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary

DOI10.1134/S1064562421040049zbMath1477.35108OpenAlexW3214515120MaRDI QIDQ2246882

Aleksandra G. Chechkina

Publication date: 16 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421040049

zbMATH Keywords

Steklov problemboundary homogenizationoperator estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (1)

Asymptotic Expansions of Solutions to the Poisson Equation with Alternating Boundary Conditions on an Open Arc

Cites Work

• Asymptotics of the solution of a Dirichlet spectral problem in a junction with highly oscillating boundary
• On the vibration of a partially fastened membrane with many `light' concentrated masses on the boundary
• On the Friedrichs inequality in a domain perforated aperiodically along the boundary. Homogenization procedure. Asymptotics for parabolic problems
• Asymptotics of the solution of the Steklov spectral problem in a domain with a blunted peak
• Interior error estimate for periodic homogenization
• A boundary value problem for the~Laplacian with rapidly changing type of~boundary conditions in a~multidimensional domain
• On periodic Steklov type eigenvalue problems on half-bands and the spectral homogenization problem
• On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure
• Homogenization of spectral problems with singular perturbation of the Steklov condition
• Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients
• Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system
• On eigenvibrations of a body with “light” concentrated masses on the surface
• Unnamed Item

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