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

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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.

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References

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Authors and Affiliations

  1. Kiev University, Kiev

    Yu. K. Podlipenko

Authors
  1. Yu. K. Podlipenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhumal, Vol. 45, No. 4, pp. 500–519, April, 1993.

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Podlipenko, Y.K. Boundary-value problems for the helmholtz equation in an angular domain. II. Ukr Math J 45, 535–557 (1993). https://doi.org/10.1007/BF01062950

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  • DOI: https://doi.org/10.1007/BF01062950

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