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On the Inverse Source Problem for the Newtonian Potential
Author(s) -
Luc Le Trong
Publication year - 1991
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19911520122
Subject(s) - mathematics , inverse , inverse problem , domain (mathematical analysis) , conductor , newtonian potential , distribution (mathematics) , newtonian fluid , mathematical analysis , classical mechanics , geometry , physics , gravitation
The paper deals with the inverse source problems for the Newtonian potential in the sense of distribution (generalized functions). The inverse source problem is defined as follows: A domain G is given. To find is a distribution creating the potential which is known outside of the closed domain G. New results can be applied to electronical fields, because the electrical charge is distributed only on the surface of conductor.