×

zbMATH — the first resource for mathematics

Investigation of the question of the well-posedness of diffraction problems in the case of angular domains. (Russian, English) Zbl 1170.78367
Zap. Nauchn. Semin. POMI 324, 131-147 (2005); translation in J. Math. Sci., New York 138, No. 2, 5555-5564 (2006).
The paper is devoted to the diffraction of a plane wave by a plane wedge. This leads to a transmission problem for the Helmholtz equation where the wave numbers inside and outside the infinite angle are different. It is shown that this problem generates an isomorphism in an appropriate function space.

MSC:
78A45 Diffraction, scattering
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
PDF BibTeX XML Cite
Full Text: Link EuDML