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Inverse resonance scattering for Dirac operators on the half-line. / Korotyaev, Evgeny; Mokeev, Dmitrii.

в: Analysis and Mathematical Physics, Том 11, № 1, 32, 05.01.2021.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Korotyaev, E & Mokeev, D 2021, 'Inverse resonance scattering for Dirac operators on the half-line', Analysis and Mathematical Physics, Том. 11, № 1, 32. https://doi.org/10.1007/s13324-020-00453-5

APA

Korotyaev, E., & Mokeev, D. (2021). Inverse resonance scattering for Dirac operators on the half-line. Analysis and Mathematical Physics, 11(1), [32]. https://doi.org/10.1007/s13324-020-00453-5

Vancouver

Korotyaev E, Mokeev D. Inverse resonance scattering for Dirac operators on the half-line. Analysis and Mathematical Physics. 2021 Янв. 5;11(1). 32. https://doi.org/10.1007/s13324-020-00453-5

Author

Korotyaev, Evgeny ; Mokeev, Dmitrii. / Inverse resonance scattering for Dirac operators on the half-line. в: Analysis and Mathematical Physics. 2021 ; Том 11, № 1.

BibTeX

@article{ec9b35bbeb79474688daaf2a23de0ff2,
title = "Inverse resonance scattering for Dirac operators on the half-line",
abstract = "We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function and scattering matrix (including characterization). We study resonances as zeros of Jost function and prove that a potential is uniquely determined by its resonances. Moreover, we prove the following: (1) resonances are free parameters and a potential continuously depends on a resonance, (2) the forbidden domain for resonances is estimated, (3) asymptotics of resonance counting function is determined, (4) these results are applied to canonical systems.",
keywords = "Canonical systems, Compactly supported potentials, Dirac operators, Inverse problems, Resonances",
author = "Evgeny Korotyaev and Dmitrii Mokeev",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.",
year = "2021",
month = jan,
day = "5",
doi = "10.1007/s13324-020-00453-5",
language = "English",
volume = "11",
journal = "Analysis and Mathematical Physics",
issn = "1664-2368",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Inverse resonance scattering for Dirac operators on the half-line

AU - Korotyaev, Evgeny

AU - Mokeev, Dmitrii

N1 - Publisher Copyright: © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.

PY - 2021/1/5

Y1 - 2021/1/5

N2 - We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function and scattering matrix (including characterization). We study resonances as zeros of Jost function and prove that a potential is uniquely determined by its resonances. Moreover, we prove the following: (1) resonances are free parameters and a potential continuously depends on a resonance, (2) the forbidden domain for resonances is estimated, (3) asymptotics of resonance counting function is determined, (4) these results are applied to canonical systems.

AB - We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function and scattering matrix (including characterization). We study resonances as zeros of Jost function and prove that a potential is uniquely determined by its resonances. Moreover, we prove the following: (1) resonances are free parameters and a potential continuously depends on a resonance, (2) the forbidden domain for resonances is estimated, (3) asymptotics of resonance counting function is determined, (4) these results are applied to canonical systems.

KW - Canonical systems

KW - Compactly supported potentials

KW - Dirac operators

KW - Inverse problems

KW - Resonances

UR - http://www.scopus.com/inward/record.url?scp=85101961847&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/3eb2dd14-be88-3e41-b71f-51c7e8b43f70/

U2 - 10.1007/s13324-020-00453-5

DO - 10.1007/s13324-020-00453-5

M3 - Article

AN - SCOPUS:85101961847

VL - 11

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

SN - 1664-2368

IS - 1

M1 - 32

ER -

ID: 86154396