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The method of layer potentials for non-smooth domains with arbitrary topology

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/jfan.1998.3316openalex-snapshot
Boundary Layers on Sobolev–Besov Spaces and Poisson's Equation for the Laplacian in Lipschitz Domains
inferredcites →https://doi.org/10.1007/978-3-642-58004-8openalex-snapshot
Mathematical Analysis and Numerical Methods for Science and Technology
inferredcites →https://doi.org/10.1007/bf01161700openalex-snapshot
An elementary proof for a compact imbedding result in generalized electromagnetic theory
inferredcites →https://doi.org/10.1007/bf01181459openalex-snapshot
Darstellung der Eigenwerte von? u+? u=0 durch ein Randintegral
inferredcites →https://doi.org/10.1007/bf02545747openalex-snapshot
Potential techniques for boundary value problems on C1-domains
inferredcites →https://doi.org/10.1007/bf02649132openalex-snapshot
Vector potential theory on nonsmooth domains in R3 and applications to electromagnetic scattering
inferredcites →https://doi.org/10.1007/bfb0103344openalex-snapshot
Layer potential methods for boundary value problems on lipschitz domains
inferredcites →https://doi.org/10.1016/0022-1236(84)90066-1openalex-snapshot
Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
inferredcites →https://doi.org/10.1017/cbo9780511996016openalex-snapshot
Mathematical and Physical Papers
inferredcites →https://doi.org/10.1063/1.2810363openalex-snapshot
Mathematical Analysis and Numerical Methods for Science and Technology
inferredcites →https://doi.org/10.1090/s0002-9939-1992-1092919-1openalex-snapshot
On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries
inferredcites →https://doi.org/10.1090/s0273-0979-1981-14884-9openalex-snapshot
The Neumann problem on Lipschitz domains
inferredcites →https://doi.org/10.1215/s0012-7094-95-07705-9openalex-snapshot
The method of layer potentials in electromagnetic scattering theory on nonsmooth domains
inferredcites →https://doi.org/10.2307/1971407openalex-snapshot
Hardy Spaces and the Neumann Problem in L p for Laplace's Equation in Lipschitz Domains
inferredcites →https://doi.org/10.2307/2007065openalex-snapshot
L'integrale de Cauchy Definit un Operateur Borne sur L 2 Pour Les Courbes Lipschitziennes
inferredcites →https://doi.org/10.4064/sm-66-1-13-24openalex-snapshot
On the Poisson integral for Lipschitz and $C^{1}$-domains

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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The Foldy-Lax approximation of the scattered waves by many small bodies for the Lamé system
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Non‐classical boundary value problems of elastostatics and hydrostatics on Lipschitz domains
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Integral representation of a solution to the Stokes–Darcy problem
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Boundary Layers on Sobolev–Besov Spaces and Poisson's Equation for the Laplacian in Lipschitz Domains
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Boundary Layer Methods for Lipschitz Domains in Riemannian Manifolds
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Finite Energy Solutions of Maxwell's Equations and Constructive Hodge Decompositions on Nonsmooth Riemannian Manifolds
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Sharp Invertibility Results for Layer Potentials in 2D
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Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Iterated Helmholtz Operator
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Harmonic Analysis of Dirac Operators on Lipschitz Domains
inferred← citeshttps://doi.org/10.1007/bf01192833openalex-snapshot
Higher degree layer potentials for non-smooth domains with arbitrary topology
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The Third Problem for the Laplace Equation with a Boundary Condition from L p
inferred← citeshttps://doi.org/10.1007/s00033-016-0652-0openalex-snapshot
Multiscale analysis of the acoustic scattering by many scatterers of impedance type
inferred← citeshttps://doi.org/10.1007/s002080100266openalex-snapshot
Layer potentials and Hodge decompositions in two dimensional Lipschitz domains
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Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
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On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains
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Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains
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Solution of the Transmission Problem
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Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Helmholtz Operator
inferred← citeshttps://doi.org/10.1007/s11075-009-9346-4openalex-snapshot
Integral representation of a solution of the Neumann problem for the Stokes system
inferred← citeshttps://doi.org/10.1016/j.acha.2012.07.006openalex-snapshot
On the polarizability and capacitance of the cube
inferred← citeshttps://doi.org/10.1016/j.camwa.2025.08.012openalex-snapshot
A complex-scaled boundary integral equation for the embedded eigenvalues and complex resonances of the Neumann-Poincaré operator on domains with corners
inferred← citeshttps://doi.org/10.1016/j.jde.2016.08.007openalex-snapshot
One problem of the Navier type for the Stokes system in planar domains
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The Navier–Stokes equations in exterior Lipschitz domains: L -theory
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Transmission problem for the Laplace equation and the integral equation method
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On the Besov regularity of conformal maps and layer potentials on nonsmooth domains
inferred← citeshttps://doi.org/10.1023/a:1022209421576openalex-snapshot
Solution of the Dirichlet Problem for the Laplace equation
inferred← citeshttps://doi.org/10.1070/rm2002v057n05abeh000552openalex-snapshot
Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains
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The Dirichlet problem for elliptic systems in multiconnected rough regions
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Boundary value problems for the Stokes equations with jumps in open sets
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The transmission problem for multilayered anisotropic elastic bodies with rough interfaces
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On the reconstruction of interfaces using complex geometrical optics solutions for the acoustic case
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Unique reconstruction of simple magnetizations from their magnetic potential
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Sharp Boundary Trace Theory and Schrödinger Operators on Bounded Lipschitz Domains
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Singular Integrals and Elliptic Boundary Problems on Regular Semmes-Kenig-Toro Domains
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Reconstruction of Interfaces from the Elastic Farfield Measurements Using CGO Solutions
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On the Justification of the Foldy--Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes
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The Foldy--Lax Approximation for the Full Electromagnetic Scattering by Small Conductive Bodies of Arbitrary Shapes
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The Linearization Method for the Numerical Analysis of Finite Element Solutions to Quasi-linear Elliptic Partial Differential Equations
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Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains
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The successive approximation method for the Dirichlet problem in a planar domain
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Спектральные задачи для сильно эллиптических систем второго порядка в областях с гладкой и негладкой границей
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On the polarizability and capacitance of the cube
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The Navier--Stokes equations in exterior Lipschitz domains: $\mathrm{L}^p$-theory
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Foldy-Lax approximation of the electromagnetic fields generated by anisotropic inhomogeneities in the mesoscale regime with complements for the perfectly conducting case
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Sharp $L^p$-Hodge decompositions for Lipschitz domains in $\mathbb R^2$
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Integral equation methods for div-curl problems for planar vector fields in nonsmooth domains
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