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A uniqueness theorem for a Robin boundary value problem of Physical Geodesy

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Otero Juez, Jesús (1998) A uniqueness theorem for a Robin boundary value problem of Physical Geodesy. Quarterly of Applied Mathematics, 56 (2). pp. 245-247. ISSN 0033-569X

Official URL: http://dl.acm.org/citation.cfm?id=292590


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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.


Item Type:Article
Uncontrolled Keywords:Robin boundary value problem; Laplace equation; determination of geoid; uniqueness
Subjects:Sciences > Mathematics > Differential equations
ID Code:17460
Deposited On:17 Dec 2012 09:27
Last Modified:22 Jan 2013 18:29

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