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Apriori Estimates of the Solution of the Geodetic Boundary Value Problem

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Book cover Geodesy on the Move

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 119))

Abstract

The purpose of this paper is to discuss an apriori estimate (bound) for the disturbing potential and its part representing higher degree harmonic components. The disturbing potential is treated as a solution of the geodetic boundary value problem and the estimates are considered in terms of the norm assigned to Lebesgue’s space of square integrable functions defined on the boundary of the solution domain.

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References

  • Holota P. (1996). Variational methods for quasigeoid determination. In: Tziavos, I.N. and Vermeer, M. (eds.), Techniques for Local Geoid Determination, Proc. Session G7, EGS XXI Gen. Assembly, The Hague, The Netherlands, 6–10 May, 1996, Reports of the Finnish Geodetic Inst. No. 96:2, Masala, 1996, pp 9–21.

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  • Holota P. (1997a). Variational methods for geodetic boundary value problems. In: Sansò, F. and Rummel R. (eds.), Geodetic Boundary Value Problems in View of the One Centimeter Geoid, Lecture Notes in Earth Sciences, Springer, Berlin etc., pp 468–481.

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  • Holota P. (1997b). Coerciveness of the linear gravimetric boundary-value problem and a geometrical interpretation. Journal of Geodesy 71: pp 640–651.

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Author information

Authors and Affiliations

  1. Research Institute of Geodesy, Topography and Cartography, 250 66 Zdiby 98, Praha-východ, Czech Republic

    Petr Holota

Authors
  1. Petr Holota
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Editor information

Editors and Affiliations

  1. Department of Geodynamics, Kort & Matrikelstyrelsen, Rentemestervej 8, DK-2400, Copenhagen NV, Denmark

    Rene Forsberg

  2. Observatoire de Paris, 61 Avenue de l’Observatoire de Paris, F-75014, Paris, France

    Martine Feissel

  3. Institut für Planetare Geodäsie, Technische Universität Dresden, Mommsenstraße 13, D-01062, Dresden, Germany

    Reinhard Dietrich

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© 1998 Springer-Verlag Berlin Heidelberg

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Holota, P. (1998). Apriori Estimates of the Solution of the Geodetic Boundary Value Problem. In: Forsberg, R., Feissel, M., Dietrich, R. (eds) Geodesy on the Move. International Association of Geodesy Symposia, vol 119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72245-5_22

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  • DOI: https://doi.org/10.1007/978-3-642-72245-5_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-72247-9

  • Online ISBN: 978-3-642-72245-5

  • eBook Packages: Springer Book Archive

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