Darboux Moutard Transformations and Poincaré—Steklov Operators

R. G. Novikov; I. A. Taimanov

doi:10.1134/S0081543818060160

Darboux Moutard Transformations and Poincaré—Steklov Operators

R. G. Novikov, I. A. Taimanov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

Formulas relating Poincaré–Steklov operators for Schrödinger equations related by Darboux–Moutard transformations are derived. They can be used for testing algorithms of reconstruction of the potential from measurements at the boundary.

Язык оригинала	английский
Страницы (с-по)	315-324
Число страниц	10
Журнал	Proceedings of the Steklov Institute of Mathematics
Том	302
Номер выпуска	1
DOI	https://doi.org/10.1134/S0081543818060160
Состояние	Опубликовано - 1 авг 2018

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abstract = "Formulas relating Poincar{\'e}–Steklov operators for Schr{\"o}dinger equations related by Darboux–Moutard transformations are derived. They can be used for testing algorithms of reconstruction of the potential from measurements at the boundary.",

keywords = "GENERALIZED-ANALYTIC-FUNCTIONS, 2-DIMENSIONAL SCHRODINGER-OPERATORS, NOVIKOV-VESELOV EQUATION, BLOWING-UP SOLUTIONS, DIRAC OPERATORS",

author = "Novikov, {R. G.} and Taimanov, {I. A.}",

year = "2018",

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doi = "10.1134/S0081543818060160",

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Darboux Moutard Transformations and Poincaré—Steklov Operators. / Novikov, R. G.; Taimanov, I. A.

В: Proceedings of the Steklov Institute of Mathematics, Том 302, № 1, 01.08.2018, стр. 315-324.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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T1 - Darboux Moutard Transformations and Poincaré—Steklov Operators

AU - Novikov, R. G.

AU - Taimanov, I. A.

PY - 2018/8/1

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N2 - Formulas relating Poincaré–Steklov operators for Schrödinger equations related by Darboux–Moutard transformations are derived. They can be used for testing algorithms of reconstruction of the potential from measurements at the boundary.

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KW - GENERALIZED-ANALYTIC-FUNCTIONS

KW - 2-DIMENSIONAL SCHRODINGER-OPERATORS

KW - NOVIKOV-VESELOV EQUATION

KW - BLOWING-UP SOLUTIONS

KW - DIRAC OPERATORS

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DO - 10.1134/S0081543818060160

M3 - Article

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EP - 324

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

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Darboux Moutard Transformations and Poincaré—Steklov Operators

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