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

Access to Document

10.1134/S0081543818060160

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Darboux Moutard Transformations and Poincaré—Steklov Operators'. Together they form a unique fingerprint.

Cite this

@article{25f86b2ce6284b088deb98c10bd53b81,

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",

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

year = "2018",

month = aug,

day = "1",

doi = "10.1134/S0081543818060160",

language = "English",

volume = "302",

pages = "315--324",

journal = "Proceedings of the Steklov Institute of Mathematics",

issn = "0081-5438",

publisher = "Maik Nauka Publishing / Springer SBM",

number = "1",

}

TY - JOUR

T1 - Darboux Moutard Transformations and Poincaré—Steklov Operators

AU - Novikov, R. G.

AU - Taimanov, I. A.

PY - 2018/8/1

Y1 - 2018/8/1

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.

AB - 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.

KW - GENERALIZED-ANALYTIC-FUNCTIONS

KW - 2-DIMENSIONAL SCHRODINGER-OPERATORS

KW - NOVIKOV-VESELOV EQUATION

KW - BLOWING-UP SOLUTIONS

KW - DIRAC OPERATORS

UR - http://www.scopus.com/inward/record.url?scp=85059506022&partnerID=8YFLogxK

U2 - 10.1134/S0081543818060160

DO - 10.1134/S0081543818060160

M3 - Article

AN - SCOPUS:85059506022

VL - 302

SP - 315

EP - 324

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - 1

ER -