This article is cited in 23 papers

Analytic continuation with respect to a parameter of the Green's functions of exterior boundary value problems for the two-dimensional Helmholtz equation. III

L. A. Muravei


Abstract: In the paper an investigation is made of those analytic continuation properties of the Green's functions of exterior boundary value problems for the two-dimensional Helmholtz equation that are used in studying the asymptotic behavior for large time of the Green's functions (and solutions) of the corresponding nonstationary problems, viz. the exterior boundary value problems for the wave equation.
Bibliography: 24 titles.

UDC: 517.9

MSC: Primary 35J05; Secondary 30B40

Received: 19.05.1977

 English version: Mathematics of the USSR-Sbornik, 1978, 34:1, 55–98

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