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An analysis of the scalar geodetic boundary-value problem with natural regularity results


Otero Juez, Jesús y Sanso, F. (1999) An analysis of the scalar geodetic boundary-value problem with natural regularity results. Journal of Geodesy, 73 (9). pp. 427-435. ISSN 0949-7714

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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.

Tipo de documento:Artículo
Palabras clave:Scalar geodetic boundary problem angular potential coordinates intermadiate Schauder estimates
Materias:Ciencias > Matemáticas > Geodesia
Código ID:17288

Gilbarg D, Trudinger NS (1983) Elliptic partial differential equations of second order. 2nd edn. Springer, Berlin Heidelberg New York

Gilbarg D, Hörmander L (1980) Intermediate Schauder estimates. Arch Rat Mech Anal 74: 297-314

Hörmander L (1976) The boundary problems of physical geodesy. Arch Rat Mech Anal 62: 1-52

Lieberman GM (1986) Intermediate Schauder estimates for oblique derivative problems. Arch Rat Mech Anal 93: 129-134

Lieberman GM (1987) Oblique derivative problems in Lipschitz domains. I. Continuous boundary data. Boll Un Mat Ital 1-B: 1185-1210

Otero 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 280-293

Sacerdote F, Sansó F (1986) The scalar boundary value problem of physical geodesy. Manuser Geod 11: 15-28

Safonov MV (1995) On the oblique derivative problem for second order elliptic equations. Comm Partial Di€ Eqs. 20: 1349-1367

Sansó 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: 68-76

Sansó 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 161-218

Zeidler E (1985) Nonlinear functional analysis and its applications. I Fixed point theorems. Springer, Berlin Heidelberg New York

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Última Modificación:07 Feb 2014 09:45

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