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

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

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	315-324
Number of pages	10
Journal	Proceedings of the Steklov Institute of Mathematics
Volume	302
Issue number	1
DOIs	https://doi.org/10.1134/S0081543818060160
Publication status	Published - 1 Aug 2018

Keywords

GENERALIZED-ANALYTIC-FUNCTIONS
2-DIMENSIONAL SCHRODINGER-OPERATORS
NOVIKOV-VESELOV EQUATION
BLOWING-UP SOLUTIONS
DIRAC OPERATORS

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title = "Darboux Moutard Transformations and Poincar{\'e}—Steklov Operators",

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",

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year = "2018",

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AU - Taimanov, I. A.

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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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JO - Proceedings of the Steklov Institute of Mathematics

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Darboux Moutard Transformations and Poincaré—Steklov Operators

Abstract

Keywords

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