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An analysis of the scalar geodetic boundary-value problem with natural regularity results |
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| Authors: | J Otero F Sansò |
| Institution: | (1) Sección Departamental de Astronomía y Geodesia, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain e-mail: oteroj@eucmax.sim.ucm.es, ES;(2) Dipartimento di Ingegneria Idraulica, Ambientale e del Rilevamento, Sezione Rilevamento, Politecnico di Milano, 20133 Milano, Italy, IT |
| Abstract: | A new local existence and uniqueness theorem is obtained for the scalar geodetic boundary-value problem in spherical coordinates. The regularities H α and H 1+α are assumed for the boundary data g (gravity) and v (gravitational potential) respectively. Received: 27 July 1998 / Accepted: 19 April 1999 |
| Keywords: | , Scalar geodetic boundary problem angular,potential coordinates intermadiate Schauder estimates |
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