An analysis of the scalar geodetic boundary-value problem with natural regularity results
| dc.contributor.author | Otero Juez, Jesús | |
| dc.contributor.author | Sanso, F. | |
| dc.date.accessioned | 2023-06-20T17:05:01Z | |
| dc.date.available | 2023-06-20T17:05:01Z | |
| dc.date.issued | 1999-10 | |
| dc.description.abstract | 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. | |
| dc.description.department | Unidad Deptal. de Astronomía y Geodesia | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17288 | |
| dc.identifier.doi | httpp://dx.doi.org/10.1007/PL00003998 | |
| dc.identifier.issn | 0949-7714 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/p5xug3145we1n32w/fulltext.pdf | |
| dc.identifier.relatedurl | http://www.springerlink.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57742 | |
| dc.issue.number | 9 | |
| dc.journal.title | Journal of Geodesy | |
| dc.language.iso | eng | |
| dc.page.final | 435 | |
| dc.page.initial | 427 | |
| dc.publisher | Springer | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 528 | |
| dc.subject.keyword | Scalar geodetic boundary problem angular potential coordinates intermadiate Schauder estimates | |
| dc.subject.ucm | Geodesia | |
| dc.subject.unesco | 2504 Geodesia | |
| dc.title | An analysis of the scalar geodetic boundary-value problem with natural regularity results | |
| dc.type | journal article | |
| dc.volume.number | 73 | |
| dcterms.references | 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 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5b662487-b959-4d3e-b355-f10d1337af81 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5b662487-b959-4d3e-b355-f10d1337af81 |
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