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Third-order operators with three-point conditions associated with Boussinesq's equation. / Badanin, Andrey; Korotyaev, Evgeny L.

в: Applicable Analysis, 09.05.2019.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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@article{a4dad2c73a394bec8b39b518acd05f44,
title = "Third-order operators with three-point conditions associated with Boussinesq's equation",
abstract = "We consider a non-self-adjoint third-order operator on the interval [0, 2] with real 1-periodic coefficients and three-point Dirichlet conditions at the points 0, 1 and 2. The eigenvalues of this operator consist an auxiliary spectrum for the inverse spectral problem associated with the good Boussinesq equation. We determine eigenvalue asymptotics at high energy and the trace formula for the operator.",
keywords = "Adrian Constantin, Good Boussinesq equation, multi-point problem, spectral asymptotics, third-order operator, trace formula",
author = "Andrey Badanin and Korotyaev, {Evgeny L.}",
year = "2019",
month = may,
day = "9",
doi = "10.1080/00036811.2019.1610941",
language = "English",
journal = "Applicable Analysis",
issn = "0003-6811",
publisher = "Taylor & Francis",

}

RIS

TY - JOUR

T1 - Third-order operators with three-point conditions associated with Boussinesq's equation

AU - Badanin, Andrey

AU - Korotyaev, Evgeny L.

PY - 2019/5/9

Y1 - 2019/5/9

N2 - We consider a non-self-adjoint third-order operator on the interval [0, 2] with real 1-periodic coefficients and three-point Dirichlet conditions at the points 0, 1 and 2. The eigenvalues of this operator consist an auxiliary spectrum for the inverse spectral problem associated with the good Boussinesq equation. We determine eigenvalue asymptotics at high energy and the trace formula for the operator.

AB - We consider a non-self-adjoint third-order operator on the interval [0, 2] with real 1-periodic coefficients and three-point Dirichlet conditions at the points 0, 1 and 2. The eigenvalues of this operator consist an auxiliary spectrum for the inverse spectral problem associated with the good Boussinesq equation. We determine eigenvalue asymptotics at high energy and the trace formula for the operator.

KW - Adrian Constantin

KW - Good Boussinesq equation

KW - multi-point problem

KW - spectral asymptotics

KW - third-order operator

KW - trace formula

UR - http://www.scopus.com/inward/record.url?scp=85065674358&partnerID=8YFLogxK

U2 - 10.1080/00036811.2019.1610941

DO - 10.1080/00036811.2019.1610941

M3 - Article

AN - SCOPUS:85065674358

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

ER -

ID: 46130977