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Eigenfunctions Concentrated in a Neighborhood of a Closed Geodesic

  • V. M. Babich
Part of the Seminars in Mathematics book series (SM, volume 9)

Abstract

The asymptotic behavior of the eigenfunctions for the triaxial ellipsoid
$$\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} + \frac{{{z^2}}}{{{c^2}}} = 1\;,\;\;a > b > c\;. $$
(1.1)
has been studied in the papers .of V. P. Bykov [1] and L. A. Vainshtein [2].

Keywords

Parabolic Equation Jacobi Equation Riemannian Space Closed Geodesic Fundamental System 
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

© Consultants Bureau, New York 1970

Authors and Affiliations

  • V. M. Babich

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