Eigenvalues for spherical domains with corners via boundary integral equations

DOI10.1007/BF01199907zbMath0732.35048OpenAlexW2003428671MaRDI QIDQ808310

Stephan Rempel, Gunther Schmidt

Publication date: 1991

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199907

zbMATH Keywords

Galerkin approximationtransmission problemdomains with corners

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for integral equations (45C05)

Related Items (2)

The Invertibility of the Double Layer Potential Operator in the Space of Continuous Functions Defined on a Polyhedron: The Panel Method ⋮ The third boundary value problem in potential theory for domains with a piecewise smooth boundary

Cites Work

• Corner singularity for transmission problems in three dimensions
• A direct boundary integral equation method for transmission problems
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Numerical determination of the fundamental eigenvalue for the Laplace operator on a spherical domain
• Edge Behavior of the Solution of an Elliptic Problem
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Singularities of the Laplacian at corners and edges of three-dimensional domains and their treatment with finite element methods
• Decompositions in Edge and Corner Singularities for the Solution of the Dirichlet Problem of the Laplacian in a Polyhedron
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