About: Boundary Problems of Mathematical Physics in Earth’s Gravity Field Studies

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The theory of boundary value problems for Laplace’s and Poisson’s equation offers a natural basis for gravity field studies, especially in case they rest on terrestrial measurements. Free, fixed and mixed boundary value problems are considered. Concerning the linear problems, the classical as well as the weak solution concept is applied. Some techniques are shown. Also an attempt is made to construct the respective Green’s function, reproducing kernel and entries in Galerkin’s matrix for the solution domain given by the exterior of an oblate ellipsoid of revolution. The integral kernel is expressed by series of ellipsoidal harmonics and its summation is discussed. Some aspects associated with the formulation of boundary value problems in gravity field studies based on terrestrial gravity measurements in combination with satellite data on gravitational field are mentioned too. The theory of boundary value problems for Laplace’s and Poisson’s equation offers a natural basis for gravity field studies, especially in case they rest on terrestrial measurements. Free, fixed and mixed boundary value problems are considered. Concerning the linear problems, the classical as well as the weak solution concept is applied. Some techniques are shown. Also an attempt is made to construct the respective Green’s function, reproducing kernel and entries in Galerkin’s matrix for the solution domain given by the exterior of an oblate ellipsoid of revolution. The integral kernel is expressed by series of ellipsoidal harmonics and its summation is discussed. Some aspects associated with the formulation of boundary value problems in gravity field studies based on terrestrial gravity measurements in combination with satellite data on gravitational field are mentioned too. (en)
Title	Boundary Problems of Mathematical Physics in Earth’s Gravity Field Studies Boundary Problems of Mathematical Physics in Earth’s Gravity Field Studies (en)
skos:prefLabel	Boundary Problems of Mathematical Physics in Earth’s Gravity Field Studies Boundary Problems of Mathematical Physics in Earth’s Gravity Field Studies (en)
skos:notation	RIV/00025615:_____/14:#0002080!RIV15-GA0-00025615
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0090), P(GA14-34595S)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Holota, Petr
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Výzkumný ústav geodetický, topografický a kartografický, v.v.i.
http://linked.open...dnocenehoVysledku	5727
http://linked.open...ai/riv/idVysledku	RIV/00025615:_____/14:#0002080
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	gravity field studies; boundary value problems in physical geodesy; classical and weak solution concept; Green’s function; reproducing kernel; elliptic integrals (en)
http://linked.open.../riv/klicoveSlovo	boundary value problems in physical geodesy classical and weak solution concept gravity field studies reproducing kernel Green’s function elliptic integrals
http://linked.open...ontrolniKodProRIV	[4CC3F679E050]
http://linked.open...v/mistoKonaniAkce	Berlin
http://linked.open...i/riv/mistoVydani	Berlin
http://linked.open...i/riv/nazevZdroje	Kolloquium zu Ehren von Prof. Dr. Dr. hc. mult. Helmut Moritz aus Anlass seines 80. Geburtstages
http://linked.open...in/vavai/riv/obor	DE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	NTIS - New Technologies for Information Society Mathematical methods for Earth’s gravity field studies
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Holota, Petr
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2013-11-15 (xsd:date)
issn	0947-5850
number of pages	15 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Leibniz-Societät der Wissenschaften zu Berlin e.V.
https://schema.org/isbn	978-3-89626-989-8

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