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Journal of Mathematical Sciences

, Volume 83, Issue 2, pp 244–258 | Cite as

The problem of a point source of SH-waves in the case of separation of variables

  • S. A. Kochengin
Article
  • 14 Downloads

Abstract

The equation
$$div(\mu \nabla u) + \omega ^2 \rho u = - \delta (x - x_0 )\delta (y - y_0 )$$

where μ(x, y)=α(x)β(y), ρ(x, y)=α(x)β(y)(g(x)+d(y)) (α, β, g, d are given step functions), is considered. The problem is solved in explicit form and the asymptotic expansion of the solutions as ω→+∞ is found.

Keywords

Point Source Asymptotic Expansion Explicit Form Step Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • S. A. Kochengin

There are no affiliations available

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