The exterior Calderón operator for non-spherical objects

Gerhard Kristensson, Ioannis Stratis, Niklas Wellander, Athanasios Yannacopoulos

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

Sammanfattning

This paper deals with the exterior Calderón operator for not necessarily spherical domains. We present a new approach of finding the norm of the exterior Calderón operator for a wide class of surfaces. The basic tool in the treatment is the set of eigenfunctions and eigenvalues to the Laplace–Beltrami operator for the surface. The norm is obtained in view of an eigenvalue problem of a quadratic form containing the exterior Calderón operator. The connection of the exterior Calderón operator to the transition matrix for a perfectly conducting surface is analyzed.
Originalspråkengelska
Antal sidor32
TidskriftSN Partial Differential Equations and Applications
Volym1
Nummer6
DOI
StatusPublished - 2020

Ämnesklassifikation (UKÄ)

  • Matematisk analys

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