The exterior Calderón operator for non-spherical objects

Gerhard Kristensson, Ioannis Stratis, Niklas Wellander, Athanasios Yannacopoulos

Forskningsoutput: Bok/rapportRapportForskning

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Sammanfattning

This paper deals with the exterior Calderón operator for Lipschitz surfaces. We present a new approach of finding the norm of the exterior Calderón operator for this class of surfaces. The basic tool in the treatment is the set of eigenfunctions and eigenvalues of the Laplace-Beltrami operator for the surface. The norm is obtained as an eigenvalue problem of a quadratic form containing the exterior Calderón operator. The connection of the exterior Calderón to the transition matrix for a perfectly conducting surface is analyzed.
Originalspråkengelska
FörlagThe Department of Electrical and Information Technology
Antal sidor43
VolymTEAT-7259
StatusPublished - 2017

Publikationsserier

NamnTechnical Report LUTEDX/(TEAT-7259)/1-41/(2017)
VolymTEAT-7259

Ämnesklassifikation (UKÄ)

  • Annan elektroteknik och elektronik

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