The free nonlinear boundary value problem of physical geodesy |
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| Authors: | E Grafarend and W Niemeier |
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| Institution: | (1) Institut für Theoretische Geod?sie der Universit?t Bonn, W-Germany |
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| Abstract: | Summary Within potential theory of Poisson-Laplace equation the boundary value problem of physical geodesy is classified asfree andnonlinear. For solving this typical nonlinear boundary value problem four different types of nonlinear integral equations corresponding
to singular density distributions within single and double layer are presented. The characteristic problem of free boundaries,
theproblem of free surface integrals, is exactly solved bymetric continuation. Even in thelinear approximation of fundamental relations of physical geodesy the basic integral equations becomenonlinear because of the special features of free surface integrals. |
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