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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 изданиях › статья › Рецензирование
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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