Symmetry of a boundary integral operator and a characterization of a ball
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
- Appears in Collection
- MA-Journal Papers(저널논문)
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