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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1995 Volume 230, Pages 14–20 (Mi znsl3761)

This article is cited in 1 paper

On a point source of harmonic oscillations in a homogeneous anisotropic elastic medium

V. M. Babich

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: A point source of harmonic oscillations in an infinite homogeneous anisotropic elastic space is considered. It is shown that everywhere, except for certain directions, the phase function of the problem solution can be determined by applying the Legendre transform to the characteristic function of the equations. The group velocity of the solution is directed from the point source precisely along the radius. Bibl. 2 titles.

UDC: 550.344

Received: 13.06.1995


 English version:
Journal of Mathematical Sciences (New York), 1998, 91:2, 2706–2710

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