Invariance of the Fredholm radius of the Neumann operator

Dagmar Medková

Type: Article

Publication Date: 1990-01-01

Citations: 4

DOI: https://doi.org/10.21136/cpm.1990.108370

Abstract

One of the classical methods of solving the Dirichlet problem and the Neumann problem in R m is the method of integral equations.If we wish to use the Fredholm-Radon theory to solve the problem, we need to know the Fredholm radius of the Neumann operator.It is shown in the paper that the Fredholm radius of the Neumann operator does not change under a deformation of the domain investigated by a diffeomorphism which is conformal (i.e.preserves angles) on a precisely specified part of the boundary.

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