Explicit Calculation of the Solution to Backus′ Problem with a Condition for Uniqueness

Explicit Calculation of the Solution to Backus′ Problem with a Condition for Uniqueness

In this work a uniqueness result for Backus′ problem for the exterior magnetic or gravitational field of the earth is given. Once this condition is established, an explicit series solution for the magnetic problem is computed and the convergance proved.

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Veröffentlicht in:Journal of mathematical analysis and applications 1993-03, Vol.173 (2), p.515-522
Hauptverfasser: Jorge, M.D., Magnanini, R.
Format: Artikel
Sprache:eng
Schlagworte:
Earth sciences
Earth, ocean, space
Exact sciences and technology
Geophysics: general, magnetic, electric and thermic methods and properties
Internal geophysics
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Beschreibung
Zusammenfassung:In this work a uniqueness result for Backus′ problem for the exterior magnetic or gravitational field of the earth is given. Once this condition is established, an explicit series solution for the magnetic problem is computed and the convergance proved.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1993.1084