Geodesic
On extremal problems related to inverse balayage
Electronic transactions on numerical analysis, Tome 23 (2006), pp. 304-319.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Suppose is a body in , is compact, and a unit measure on . Inverse balayage $\textcent \sterling $#############$\ddot $§$\copyright \textcent \textcent $refers to the question of whether there exists a measure supported inside such that and produce the same $$###$$ electrostatic field outside . Establishing a duality principle between two extremal problems, it is shown that such $\textcent $an inverse balayage exists if and only if "!$#\\% 4365\798A@ ')(021 1CBEDGFIHQPSRUT where the supremum is taken over all unit measures on and denotes the electrostatic potential of .$
Classification : 31A15, 30C85, 41A17
Keywords: logarithmic potential, Newtonian potential, balayage, inverse balayage, linear optimization, duality, chebychev constant, extremal problem 
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     author = {G\"otz, Mario},
     title = {On extremal problems related to inverse balayage},
     journal = {Electronic transactions on numerical analysis},
     pages = {304--319},
     publisher = {mathdoc},
     volume = {23},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a2/}
}
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Götz, Mario. On extremal problems related to inverse balayage. Electronic transactions on numerical analysis, Tome 23 (2006), pp. 304-319. http://geodesic.mathdoc.fr/item/ETNA_2006__23__a2/