Symmetry of a boundary integral operator and a characterization of a ball

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If Omega is a ball in R-n (n greater than or equal to 2), then the boundary integral operator of the double layer potential for the Laplacian is self-adjoint on L-2(deltaOmega). In this paper we prove that the ball is the only bounded Lipschitz domain on which the integral operator is self-adjoint.
Publisher
UNIV ILLINOIS URBANA-CHAMPAIGN
Issue Date
2001
Language
English
Article Type
Article
Keywords

LAYER POTENTIALS; DOMAINS

Citation

ILLINOIS JOURNAL OF MATHEMATICS, v.45, no.2, pp.537 - 543

ISSN
0019-2082
URI
http://hdl.handle.net/10203/81794
Appears in Collection
MA-Journal Papers(저널논문)
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