Dense Sets and Far Field Patterns for the Vector Helmholtz Equation under Transmission Boundary Conditions

DOI10.1137/0519025zbMath0664.35015OpenAlexW1966900914MaRDI QIDQ3814100

Achim Willers, Peter J. Wilde

Publication date: 1988

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0519025

zbMATH Keywords

Sobolev spacesclassical function spacesfar field patternsbounded penetrable obstacleentire incident fieldssquare integrable vector fields

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05)

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