Eigenfunctions Concentrated in a Neighborhood of a Closed Geodesic

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


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


Parabolic Equation Jacobi Equation Riemannian Space Closed Geodesic Fundamental System 
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© Consultants Bureau, New York 1970

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  • V. M. Babich

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