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Finding a Velocity Profile from a Love Wave Dispersion Curve: Problems of Uniqueness

  • M. L. Gerver
  • D. A. Kazhdan

Abstract

In [1] we considered the problem of finding a function ρ(x) from the eigenvalue s = s(p) of an equation y″ + [pρ(x) − s] y = 0. The methods employed in [1] allow us to consider a more general equation [A(x)y′]′+ [pB(x) − sC(x)] y = 0. This in turn makes it possible to study some questions of uniqueness in the inverse problem for Love waves, i.e., determination of the characteristics of the medium from the phase or group velocity.

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Literature Cited

  1. 1.
    Gerver, M. L., and D. A. Kazhdan (1967), “On finding the function ρ(x) from the eigenvalue s = s(p) of the equation y″ + [pρ(x) − s] y = 0,” Matern. Sb., 73:115.Google Scholar
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Copyright information

© Consultants Bureau, New York 1972

Authors and Affiliations

  • M. L. Gerver
  • D. A. Kazhdan

There are no affiliations available

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