On integral representations for the Neumann operator

1 April 1979

journal article
Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences

Vol. 76 (4) , 1554-1558
https://doi.org/10.1073/pnas.76.4.1554

Abstract

This paper is devoted to the derivation of an approximate formula for the kernel of the Neumann operator N on strongly pseudo-convex domains. In particular, a new class of singular integral operators arises that are infinitely smoothing in the interior and preserve singular supports at the boundary and whose kernels are products of isotropic kernels with parabolic ones.

Keywords

NEUMANN OPERATOR
CONVEX DOMAINS
INFINITELY SMOOTHING
INTEGRAL OPERATORS
SINGULAR INTEGRAL
INTEGRAL REPRESENTATIONS
NEW CLASS
SINGULAR SUPPORTS
PSEUDO CONVEX

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