Discreteness of transmission eigenvalues for higher-order main terms and perturbations

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Discreteness of transmission eigenvalues for higher-order main terms and perturbations. / García, Andoni; Vesalainen, Esa V.; Zubeldia, Miren.

In: SIAM Journal on Mathematical Analysis, Vol. 48, No. 4, 2016, p. 2382-2398.

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García, Andoni ; Vesalainen, Esa V. ; Zubeldia, Miren. / Discreteness of transmission eigenvalues for higher-order main terms and perturbations. In: SIAM Journal on Mathematical Analysis. 2016 ; Vol. 48, No. 4. pp. 2382-2398.

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@article{6293a71335f141718be0315efab43178,
title = "Discreteness of transmission eigenvalues for higher-order main terms and perturbations",
abstract = "In this paper we extend Sylvester's approach via upper triangular compact operators to establish the discreteness of transmission eigenvalues for higher-order main terms and higher-order perturbations. The coefficients of the perturbations must be sufficiently smooth and the coefficients of the higher-order terms of the perturbation must vanish in a neighborhood of the boundary of the underlying domain. The zeroth-order term must satisfy a suitable coercivity condition in a neighborhood of the boundary.",
keywords = "Higher-order main terms, Higher-order perturbations, Inverse problems, Transmission eigenvalues",
author = "Andoni Garc{\'i}a and Vesalainen, {Esa V.} and Miren Zubeldia",
year = "2016",
doi = "10.1137/15M1053323",
language = "English",
volume = "48",
pages = "2382--2398",
journal = "SIAM Journal on Mathematical Analysis",
issn = "0036-1410",
number = "4",

}

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TY - JOUR

T1 - Discreteness of transmission eigenvalues for higher-order main terms and perturbations

AU - García, Andoni

AU - Vesalainen, Esa V.

AU - Zubeldia, Miren

PY - 2016

Y1 - 2016

N2 - In this paper we extend Sylvester's approach via upper triangular compact operators to establish the discreteness of transmission eigenvalues for higher-order main terms and higher-order perturbations. The coefficients of the perturbations must be sufficiently smooth and the coefficients of the higher-order terms of the perturbation must vanish in a neighborhood of the boundary of the underlying domain. The zeroth-order term must satisfy a suitable coercivity condition in a neighborhood of the boundary.

AB - In this paper we extend Sylvester's approach via upper triangular compact operators to establish the discreteness of transmission eigenvalues for higher-order main terms and higher-order perturbations. The coefficients of the perturbations must be sufficiently smooth and the coefficients of the higher-order terms of the perturbation must vanish in a neighborhood of the boundary of the underlying domain. The zeroth-order term must satisfy a suitable coercivity condition in a neighborhood of the boundary.

KW - Higher-order main terms

KW - Higher-order perturbations

KW - Inverse problems

KW - Transmission eigenvalues

UR - http://www.scopus.com/inward/record.url?scp=84985036700&partnerID=8YFLogxK

U2 - 10.1137/15M1053323

DO - 10.1137/15M1053323

M3 - Article

VL - 48

SP - 2382

EP - 2398

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

SN - 0036-1410

IS - 4

ER -

ID: 12915100