Abstract
In this paper a series solution for Zagrebin’s problem is proposed, based in a sequence of simple Molodensky’s type boundary value problems in the domain exterior to the ellipsoid of reference. A sufficient condition is stated for the convergence of this series in terms of the second eccentricity and constants some of them related to properties of the Hölder norms and a Schauder estimate for the simple problem of Molodensky in that domain.
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Otero, J., Capdevila, J. (1995). A Series Solution for Zagrebin’s Problem. In: Sansò, F. (eds) Geodetic Theory Today. International Association of Geodesy Symposia, vol 114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79824-5_36
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DOI: https://doi.org/10.1007/978-3-642-79824-5_36
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