The exterior Calderón operator for non-spherical objects

Gerhard Kristensson; Ioannis Stratis; Niklas Wellander; Athanasios Yannacopoulos

The exterior Calderón operator for non-spherical objects

Gerhard Kristensson, Ioannis Stratis, Niklas Wellander, Athanasios Yannacopoulos

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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.

Originalspråk	engelska
Förlag	The Department of Electrical and Information Technology
Antal sidor	43
Volym	TEAT-7259
Status	Published - 2017

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Namn	Technical Report LUTEDX/(TEAT-7259)/1-41/(2017)
Volym	TEAT-7259

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Annan elektroteknik och elektronik

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TEAT-7259-rev1Publicerad version, 671 KB

1 Artikel i vetenskaplig tidskrift

The exterior Calderón operator for non-spherical objects
Kristensson, G., Stratis, I., Wellander, N. & Yannacopoulos, A., 2020, I: SN Partial Differential Equations and Applications. 1, 6, 32 s.
Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

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abstract = "This paper deals with the exterior Calder{\'o}n operator for Lipschitz surfaces. We present a new approach of nding the norm of the exterior Calder{\'o}n 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 Calder{\'o}n operator. The connection of the exterior Calder{\'o}n to the transition matrix for a perfectly conducting surface is analyzed.",

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year = "2017",

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AU - Kristensson, Gerhard

AU - Stratis, Ioannis

AU - Wellander, Niklas

AU - Yannacopoulos, Athanasios

PY - 2017

Y1 - 2017

N2 - This paper deals with the exterior Calderón operator for Lipschitz surfaces. We present a new approach of nding 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.

AB - This paper deals with the exterior Calderón operator for Lipschitz surfaces. We present a new approach of nding 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.

M3 - Report

VL - TEAT-7259

T3 - Technical Report LUTEDX/(TEAT-7259)/1-41/(2017)

BT - The exterior Calderón operator for non-spherical objects

PB - The Department of Electrical and Information Technology

ER -

The exterior Calderón operator for non-spherical objects

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The exterior Calderón operator for non-spherical objects

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