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Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators. / Badanin, A.; Korotyaev, E.

In: Inverse Problems, Vol. 31, No. 5, 2015, p. 055004_1-37.

Research output: Contribution to journal › Article

Harvard

Badanin, A & Korotyaev, E 2015, 'Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators', Inverse Problems, vol. 31, no. 5, pp. 055004_1-37. https://doi.org/10.1088/0266-5611/31/5/055004

APA

Badanin, A., & Korotyaev, E. (2015). Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators. Inverse Problems, 31(5), 055004_1-37. https://doi.org/10.1088/0266-5611/31/5/055004

Vancouver

Badanin A, Korotyaev E. Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators. Inverse Problems. 2015;31(5):055004_1-37. https://doi.org/10.1088/0266-5611/31/5/055004

Author

Badanin, A. ; Korotyaev, E. / Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators. In: Inverse Problems. 2015 ; Vol. 31, No. 5. pp. 055004_1-37.

BibTeX

@article{45507df8fa7444fa8af53dcb7f168ff5,
title = "Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators",
abstract = "We consider Euler-Bernoulli operators with real coefficients on the unit interval. We prove the following results: i) Ambarzumyan type theorem about the inverse problems for the Euler-Bernoulli operator. ii) The sharp asymptotics of eigenvalues for the Euler-Bernoulli operator when its coefficients converge to the constant function. iii) The sharp eigenvalue asymptotics both for the Euler-Bernoulli operator and fourth order operators (with complex coefficients) on the unit interval at high energy.",
keywords = "Euler-Bernoulli operator, fourth order operator, inverse problem, eigenvalue asymptotics",
author = "A. Badanin and E. Korotyaev",
year = "2015",
doi = "10.1088/0266-5611/31/5/055004",
language = "English",
volume = "31",
pages = "055004_1--37",
journal = "Inverse Problems",
issn = "0266-5611",
publisher = "IOP Publishing Ltd.",
number = "5",

}

RIS

TY - JOUR

T1 - Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators

AU - Badanin, A.

AU - Korotyaev, E.

PY - 2015

Y1 - 2015

N2 - We consider Euler-Bernoulli operators with real coefficients on the unit interval. We prove the following results: i) Ambarzumyan type theorem about the inverse problems for the Euler-Bernoulli operator. ii) The sharp asymptotics of eigenvalues for the Euler-Bernoulli operator when its coefficients converge to the constant function. iii) The sharp eigenvalue asymptotics both for the Euler-Bernoulli operator and fourth order operators (with complex coefficients) on the unit interval at high energy.

AB - We consider Euler-Bernoulli operators with real coefficients on the unit interval. We prove the following results: i) Ambarzumyan type theorem about the inverse problems for the Euler-Bernoulli operator. ii) The sharp asymptotics of eigenvalues for the Euler-Bernoulli operator when its coefficients converge to the constant function. iii) The sharp eigenvalue asymptotics both for the Euler-Bernoulli operator and fourth order operators (with complex coefficients) on the unit interval at high energy.

KW - Euler-Bernoulli operator

KW - fourth order operator

KW - inverse problem

KW - eigenvalue asymptotics

U2 - 10.1088/0266-5611/31/5/055004

DO - 10.1088/0266-5611/31/5/055004

M3 - Article

VL - 31

SP - 055004_1-37

JO - Inverse Problems

JF - Inverse Problems

SN - 0266-5611

IS - 5

ER -

ID: 3930795