This article is cited in 6 papers

Application of the method of generalized potentials to the solution of certain problems in the theory of the diffraction and propagation of waves

Yu. V. Shestopalov

Moscow

Abstract: The nature of the singularities of the limiting values of the derivatives of generalized two-dimensional single and double layer potentials on the boundaries of contours of a certain type has been studied. Applications of the method of generalized potentials to the solution of boundary-value problems for the Helmholtz equation, which arise in the theory of the diffraction and propagation of waves, are considered.

UDC: 517.958

MSC: Primary 31A15; Secondary 35J05, 35C05

Received: 29.12.1988
Revised: 25.10.1989

 English version: USSR Computational Mathematics and Mathematical Physics, 1990, 30:4, 83–91

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