Symmetry of a boundary integral operator and a characterization of a ball
Lim, Mikyoung
Illinois J. Math., Tome 45 (2001) no. 4, p. 537-543 / Harvested from Project Euclid
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If $\ohm$ is a ball in $\Real ^n$ $(n\geq 2)$, then the boundary integral operator of the double layer potential for the Laplacian is self-adjoint on $L^2({\partial}{\ohm})$. In this paper we prove that the ball is the only bounded Lipschitz domain on which the integral operator is self-adjoint.
Publié le : 2001-04-15
Classification:  31B10,  31B15,  47G10 
@article{1258138354,
     author = {Lim, Mikyoung},
     title = {Symmetry of a boundary integral operator and a characterization of a ball},
     journal = {Illinois J. Math.},
     volume = {45},
     number = {4},
     year = {2001},
     pages = { 537-543},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138354}
}

Lim, Mikyoung. Symmetry of a boundary integral operator and a characterization of a ball. Illinois J. Math., Tome 45 (2001) no. 4, pp.  537-543. http://gdmltest.u-ga.fr/item/1258138354/