Integral operators in potential theory

zbMath0431.31001MaRDI QIDQ1138120

S. H. Smith

Publication date: 1980

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

bookFredholm integral equationsboundary value problemsharmonic functionsdouble layer potentialweak normal derivative

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral operators (45P05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Fredholm integral equations (45B05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)

Related Items (14)

On quadrature methods for the double layer potential equation over the boundary of a polyhedron ⋮ Error estimates in projective solutions of the Radon equation ⋮ On the numerical treatment of viscous flows against bodies with corners and edges by boundary element and multigrid methods ⋮ The Invertibility of the Double Layer Potential Operator in the Space of Continuous Functions Defined on a Polyhedron: The Panel Method ⋮ The solution of the third problem for the Laplace equation on planar domains with smooth boundary and inside cracks and modified jump conditions on cracks ⋮ On essential spectra of operator-matrices and their Feshbach maps. ⋮ The radiosity equation on certain spaces of continuous functions and its numerical solutions ⋮ Representations and estimates for inverse operators in the harmonic potential theory for polyhedra ⋮ On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries ⋮ Lebesgue's criticism of Carl Neumann's method in potential theory ⋮ Compactness, or lack thereof, for the harmonic double layer ⋮ Hybrid coupled finite-boundary element methods for elliptic systems of second order ⋮ On the essential norm of the double layer potential on polyhedral domains and the stability of the collocation method ⋮ Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains

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