Absolute Continuity of the Spectrum of the Periodic Schrödinger Operator in a Cylinder with Robin Boundary Condition

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Absolute Continuity of the Spectrum of the Periodic Schrödinger Operator in a Cylinder with Robin Boundary Condition. / Kachkovskiy, I. V.; Filonov, N. D.

In: Functional Analysis and its Applications, Vol. 54, No. 2, 01.04.2020, p. 110-117.

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

BibTeX

@article{13f014313e564c44a388f7cc6e05e6b8,

title = "Absolute Continuity of the Spectrum of the Periodic Schr{\"o}dinger Operator in a Cylinder with Robin Boundary Condition",

abstract = "We show that the spectrum of the Schr{\"o}dinger operator H = −Δ + V in a smooth cylinder with Robin boundary condition ∂vu = σu is purely absolutely continuous, assuming that the coefficients V and σ are periodic in the axial directions.",

keywords = "absolutely continuous spectrum, Robin boundary condition, Schr{\"o}dinger operator in a cylinder, spectral cluster estimates",

author = "Kachkovskiy, {I. V.} and Filonov, {N. D.}",

note = "Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd.",

year = "2020",

month = apr,

day = "1",

doi = "10.1134/S0016266320020045",

language = "English",

volume = "54",

pages = "110--117",

journal = "Functional Analysis and its Applications",

issn = "0016-2663",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - Absolute Continuity of the Spectrum of the Periodic Schrödinger Operator in a Cylinder with Robin Boundary Condition

AU - Kachkovskiy, I. V.

AU - Filonov, N. D.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - We show that the spectrum of the Schrödinger operator H = −Δ + V in a smooth cylinder with Robin boundary condition ∂vu = σu is purely absolutely continuous, assuming that the coefficients V and σ are periodic in the axial directions.

AB - We show that the spectrum of the Schrödinger operator H = −Δ + V in a smooth cylinder with Robin boundary condition ∂vu = σu is purely absolutely continuous, assuming that the coefficients V and σ are periodic in the axial directions.

KW - absolutely continuous spectrum

KW - Robin boundary condition

KW - Schrödinger operator in a cylinder

KW - spectral cluster estimates

UR - http://www.scopus.com/inward/record.url?scp=85090821491&partnerID=8YFLogxK

U2 - 10.1134/S0016266320020045

DO - 10.1134/S0016266320020045

M3 - Article

AN - SCOPUS:85090821491

VL - 54

SP - 110

EP - 117

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 2

ER -

ID: 91107060