A uniqueness theorem for a Robin boundary value problem of physical geodesy

Author:
Jesús Otero

Journal:
Quart. Appl. Math. **56** (1998), 245-257

MSC:
Primary 35J25; Secondary 86A30

DOI:
https://doi.org/10.1090/qam/1622562

MathSciNet review:
MR1622562

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Abstract: We get a uniqueness theorem for a Robin type boundary value problem for the Laplace equation arising in Physical Geodesy in the context of the gravimetric determination of the geoid. The boundary is an oblate ellipsoid of revolution and we have uniqueness of solutions provided that its eccentricity is (approximately) less than 0.526428.

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DOI:
https://doi.org/10.1090/qam/1622562

Article copyright:
© Copyright 1998
American Mathematical Society