RT Journal Article T1 An analysis of the scalar geodetic boundary-value problem with natural regularity results A1 Otero Juez, Jesús A1 Sanso, F. AB A new local existence and uniqueness theorem is obtained for the scalar geodetic boundary-value problem in spherical coordinates. The regularities H-alpha and H1+alpha are assumed for the boundary data g (gravity) and v (gravitational potential) respectively. PB Springer SN 0949-7714 YR 1999 FD 1999-10 LK https://hdl.handle.net/20.500.14352/57742 UL https://hdl.handle.net/20.500.14352/57742 LA eng NO Gilbarg D, Trudinger NS (1983) Elliptic partial differential equations of second order. 2nd edn. Springer, Berlin Heidelberg New YorkGilbarg D, Hörmander L (1980) Intermediate Schauder estimates. Arch Rat Mech Anal 74: 297-314Hörmander L (1976) The boundary problems of physical geodesy. Arch Rat Mech Anal 62: 1-52Lieberman GM (1986) Intermediate Schauder estimates for oblique derivative problems. Arch Rat Mech Anal 93: 129-134Lieberman GM (1987) Oblique derivative problems in Lipschitz domains. I. Continuous boundary data. Boll Un Mat Ital 1-B: 1185-1210Otero J (1988) Analysis of the free boundary value problems in Physical Geodesy. Dissertations No 336. Universidad Complutense de Madrid (in Spanish)Otero J, Capdevila J (1995) A series solution for Zagrebin's problem. In: Sansó F (ed) Geodetic theory today: III Hotine-Marussi symposium on mathematical geodesy, Int Assoc Geod Symp No 114. Springer, Berlin Heidelberg New York, pp 280-293Sacerdote F, Sansó F (1986) The scalar boundary value problem of physical geodesy. Manuser Geod 11: 15-28Safonov MV (1995) On the oblique derivative problem for second order elliptic equations. Comm Partial Di€ Eqs. 20: 1349-1367Sansó F (1977) The geodetic boundary value problem in gravity space. Mem Atti Accad Naz Lincei, Ser VIII, vol XIV Sansó F (1989) New estimates for the solution of Molodensky's problem. Manuser Geod 14: 68-76Sansó F (1997) The hierarchy of geodetic BVPs. In: Sanso Á F, Rummel R (eds) Geodetic boundary value problems in view of the one centimeter geoid. Lecture notes in Earth sciences, 65. Springer, Berlin Heidelberg New York, pp 161-218Zeidler E (1985) Nonlinear functional analysis and its applications. I Fixed point theorems. Springer, Berlin Heidelberg New York DS Docta Complutense RD 29 abr 2024