Geodesic
On extremal problems related to inverse balayage
Electronic transactions on numerical analysis, Tome 23 (2006), pp. 304-319
Zbl   EuDML
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 
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/
@article{ETNA_2006__23__a2,
     author = {G\"otz,  Mario},
     title = {On extremal problems related to inverse balayage},
     journal = {Electronic transactions on numerical analysis},
     pages = {304--319},
     year = {2006},
     volume = {23},
     zbl = {1109.31001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a2/}
}
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