Colton, David; Kress, Rainer Integral equation methods in scattering theory. (English) Zbl 0522.35001 Pure and Applied Mathematics. A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XII, 271 p. £35.75 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 723 Documents MSC: 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35P25 Scattering theory for PDEs 45B05 Fredholm integral equations 35R30 Inverse problems for PDEs 35B65 Smoothness and regularity of solutions to PDEs 49J20 Existence theories for optimal control problems involving partial differential equations 35R25 Ill-posed problems for PDEs 47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 35Q99 Partial differential equations of mathematical physics and other areas of application Keywords:integral equation methods; Fredholm-Riesz theory for compact operators; surface potentials; scalar and vector waves; low frequency behavior; exterior boundary-value problems; inverse scattering problem; regularity; acoustic and electromagnetic potentials; Maxwell’s equations; vector Helmholtz equation; scalar Helmholtz equation; function theoretic methods Citations:Zbl 0308.35011; Zbl 0435.35023; Zbl 0479.45007; Zbl 0456.45001 PDFBibTeX XML