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Resonances of third order differential operators. / Korotyaev, Evgeny L.

In: Journal of Mathematical Analysis and Applications, Vol. 478, No. 1, 01.10.2019, p. 82-107.

Research output: Contribution to journal › Article › peer-review

Harvard

Korotyaev, EL 2019, 'Resonances of third order differential operators', Journal of Mathematical Analysis and Applications, vol. 478, no. 1, pp. 82-107. https://doi.org/10.1016/j.jmaa.2019.05.007

APA

Korotyaev, E. L. (2019). Resonances of third order differential operators. Journal of Mathematical Analysis and Applications, 478(1), 82-107. https://doi.org/10.1016/j.jmaa.2019.05.007

Vancouver

Korotyaev EL. Resonances of third order differential operators. Journal of Mathematical Analysis and Applications. 2019 Oct 1;478(1):82-107. https://doi.org/10.1016/j.jmaa.2019.05.007

Author

Korotyaev, Evgeny L. / Resonances of third order differential operators. In: Journal of Mathematical Analysis and Applications. 2019 ; Vol. 478, No. 1. pp. 82-107.

BibTeX

@article{a8fa93168e144352a9401367e9ce084d,
title = "Resonances of third order differential operators",
abstract = "We consider resonances for third order ordinary differential operators with compactly supported coefficients on the real line. Resonance are defined as zeros of a Fredholm determinant on a non-physical sheet of three sheeted Riemann surface. We determine upper bounds of the number of resonances in complex discs at large radius. We express the trace formula in terms of resonances only.",
keywords = "Resonances, Third order operators, Trace formula, INVERSE PROBLEM, POLES, SCATTERING",
author = "Korotyaev, {Evgeny L.}",
year = "2019",
month = oct,
day = "1",
doi = "10.1016/j.jmaa.2019.05.007",
language = "English",
volume = "478",
pages = "82--107",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Resonances of third order differential operators

AU - Korotyaev, Evgeny L.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - We consider resonances for third order ordinary differential operators with compactly supported coefficients on the real line. Resonance are defined as zeros of a Fredholm determinant on a non-physical sheet of three sheeted Riemann surface. We determine upper bounds of the number of resonances in complex discs at large radius. We express the trace formula in terms of resonances only.

AB - We consider resonances for third order ordinary differential operators with compactly supported coefficients on the real line. Resonance are defined as zeros of a Fredholm determinant on a non-physical sheet of three sheeted Riemann surface. We determine upper bounds of the number of resonances in complex discs at large radius. We express the trace formula in terms of resonances only.

KW - Resonances

KW - Third order operators

KW - Trace formula

KW - INVERSE PROBLEM

KW - POLES

KW - SCATTERING

UR - http://www.scopus.com/inward/record.url?scp=85065901844&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/resonances-third-order-differential-operators

U2 - 10.1016/j.jmaa.2019.05.007

DO - 10.1016/j.jmaa.2019.05.007

M3 - Article

AN - SCOPUS:85065901844

VL - 478

SP - 82

EP - 107

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -

ID: 46130934