2017
Том 69
№ 7

All Issues

Boundary-value problems for the helmholtz equation in an angular domain. II

Podlipenko Yu. K.

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Abstract

We investigate boundary-value problems that appear in the study of the diffraction of acoustic waves on an infinite cylinder (with a cross section of an arbitrary shape) placed inside a wedge so that the axis of the cylinder is parallel to the edge of the wedge. The potential theory which enables one to reduce these boundary-value problems to integral equations is elaborated.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 4, pp 535-557.

Citation Example: Podlipenko Yu. K. Boundary-value problems for the helmholtz equation in an angular domain. II // Ukr. Mat. Zh. - 1993. - 45, № 4. - pp. 500–519.

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