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Surface gradients and continuity properties for some integral operators in classical scattering theory. (English) Zbl 0692.35073
From the author’s abstract. The surface gradients of some of the most important boundary integral operators for the time-harmonic Helmholtz and Maxwell equations are computed. The results are used to give new and elementary proofs of the continuity properties of these boundary operators in Sobolev and Hölder spaces of arbitrary order.
Reviewer: T.R.Faulkner

35P25 Scattering theory for PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
45A05 Linear integral equations
35Q99 Partial differential equations of mathematical physics and other areas of application
Full Text: DOI
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