An inverse problem for the double layer potential

Details An inverse problem for the double layer potential An inverse problem for the double layer potential

2001-08-29

arxiv.org/abs/math/0108200v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We consider an inverse problem for the double layer potential which can be formulated, somewhat loosely, as follows. For which smoothly bounded domains D in Euclidian space does the operator J, which maps a function on the boundary to the boundary values of its double layer potential, admit the eigenvalue 1/2. The question is motivated by Fredholm's solution to the Dirichlet problem by means of the double layer potential.

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