Potential theory for problems of diffraction on a layer between two parallel planes

Authors

  • Yu. K. Podlipenko

Abstract

We investigate the boundary-value problems that appear when studying the diffraction of acoustic waves on obstacles in a layer between two parallel planes. By using potential theory, these boundary-value problems are reduced to the Fredholm integral equations given on the boundary of the obstacles. The theorems on existence and uniqueness are proved for the Fredholm equations obtained and, hence, for the boundary-value problem.

Published

25.05.1993

Issue

Section

Research articles

How to Cite

Podlipenko, Yu. K. “Potential Theory for Problems of Diffraction on a Layer Between Two Parallel Planes”. Ukrains’kyi Matematychnyi Zhurnal, vol. 45, no. 5, May 1993, pp. 647–662, https://umj.imath.kiev.ua/index.php/umj/article/view/5852.