Abstract
Let G be a homogeneous body whose shape in R3 is unknown. We want to determine the figure of G from measurements of the newtonian potential created by this body on a spherical surface surrounding G. We prove the existence of a (local) analytic solution to the stated problem.
The present talk gives account of joint work with C. Maderna and S. Salsa [4] where one can find the proofs of the results stated here and more details.
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© 1986 Birkhäuser Verlag Basel
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Pagani, C.D. (1986). Analytic Solutions to the Inverse Problem of the Newtonian Potential. In: Cannon, J.R., Hornung, U. (eds) Inverse Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 77. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7014-6_9
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DOI: https://doi.org/10.1007/978-3-0348-7014-6_9
Publisher Name: Birkhäuser Basel
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Online ISBN: 978-3-0348-7014-6
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