Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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

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