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

Otero Juez, Jesús2023-06-202023-06-201998-060033-569Xhttps://hdl.handle.net/20.500.14352/57765We 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.A uniqueness theorem for a Robin boundary value problem of Physical Geodesyjournal articlehttp://dl.acm.org/citation.cfm?id=292590http://www.ams.orgmetadata only access517.9Robin boundary value problemLaplace equationdetermination of geoiduniquenessEcuaciones diferenciales1202.07 Ecuaciones en Diferencias