1983
DOI: 10.1007/bf02520941
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On the geodetic boundary value problem for a fixed boundary surface—A satellite approach

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Cited by 55 publications
(12 citation statements)
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“…Many geodesists have contributed to the study of BP: e.g. Koch and Pope (1972), Bjerhammar and Svensson (1983), Grafarend (1989), Heck (1989), Sacerdote and Sansò (1989), Holota (1997Holota ( , 2005, Čunderlík et al (2008) and Čunderlík and Mikula (2010). The major achievements in the present dates are local solvability results and a deep knowledge of the linearized problem which is a regular oblique derivative problem in the most general case.…”
Section: Introductionmentioning
confidence: 90%
“…Many geodesists have contributed to the study of BP: e.g. Koch and Pope (1972), Bjerhammar and Svensson (1983), Grafarend (1989), Heck (1989), Sacerdote and Sansò (1989), Holota (1997Holota ( , 2005, Čunderlík et al (2008) and Čunderlík and Mikula (2010). The major achievements in the present dates are local solvability results and a deep knowledge of the linearized problem which is a regular oblique derivative problem in the most general case.…”
Section: Introductionmentioning
confidence: 90%
“…Now the shape of the Earth can be obtained by geometric satellite triangulation and satellite altimetry over the oceans. In this way, the (linearized) fixed gravimetric boundary value problem in physical geodesy is an oblique derivative problem for the Laplace equation in the Earth's exterior, where the physical surface of the Earth is assumed to be known (see [4] and [16]). …”
Section: Formulation Of the Oblique Derivative Problemmentioning
confidence: 99%
“…Since the boundary condition of the original fixed GBVP is non-linear, the first step towards an analytical solution is a linearization of the problem related to an analytically given normal gravity potential U (Heck, 1989;Heck and Seitz, 1993). The linearized fixed GBVP proves to become an oblique-derivative BVP (Giraud, 1934;Mikhlin, 1965;Miranda, 1970;Bjerhammar and Svensson, 1983;Sacerdote and Sansò, 1989). Geodetic aspects of the linearized fixed GBVP have been discussed by Koch (1971), Koch and Pope (1972), Bosch (1979) and Heck (1991).…”
Section: Introductionmentioning
confidence: 96%