On boundary value problems for elliptic operators in the case of domains on manifolds

DOI10.1134/S1064562415040109zbMath1328.35034OpenAlexW1807756149MaRDI QIDQ892720

I. V. Tsylin, A. M. Stepin

Publication date: 12 November 2015

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

Full work available at URL: https://doi.org/10.1134/s1064562415040109

zbMATH Keywords

eigenvalue problemboundary value problemsmoothness of solutionssecond-order differential operator of elliptic type

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Elliptic equations on manifolds, general theory (58J05) PDEs on manifolds (35R01)

Related Items (4)

Regularity of solutions to Dirichlet boundary value problem in domains on a manifold ⋮ Regularity of solutions to Dirichlet boundary value problem in domains on a manifold ⋮ Spectral boundary value problems for Laplace–Beltrami operator: Moduli of continuity of eigenvalues under domain deformation ⋮ Unnamed Item

Cites Work

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• Regularity results for elliptic equations in Lipschitz domains
• Domain perturbations and estimates for the solutions of second order elliptic equations.
• Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
• Spectral stability of Dirichlet second order uniformly elliptic operators
• Rayleigh-Ritz Approximation by Piecewise Cubic Polynomials

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