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1

The inverse problem for the Hill operator, a direct approach

Pavel Kargaev, Evgeni Korotyaev

Journal:

Inventiones mathematicae

Year:

1997

Language:

english

File:

PDF, 516 KB

english, 1997

2

Dubrovin equation for periodic Dirac operator on the half-line

Korotyaev, Evgeny, Mokeev, Dmitrii

Journal:

Applicable Analysis

Year:

2020

File:

PDF, 2.31 MB

2020

3

Inverse Problem for Periodic “Weighted” Operators

Evgeni Korotyaev

Journal:

Journal of Functional Analysis

Year:

2000

Language:

english

File:

PDF, 290 KB

english, 2000

4

The Lyapunov function for Schrödinger operators with a periodic matrix potential

Andrei Badanin, Jochen Brüning, Evgeny Korotyaev

Journal:

Journal of Functional Analysis

Year:

2006

Language:

english

File:

PDF, 204 KB

english, 2006

5

Parametrization of the isospectral set for the vector-valued Sturm–Liouville problem

Dmitry Chelkak, Evgeny Korotyaev

Journal:

Journal of Functional Analysis

Year:

2006

Language:

english

File:

PDF, 184 KB

english, 2006

6

The Marchenko–Ostrovski mapping and the trace formula for the Camassa–Holm equation

Andrei Badanin, Markus Klein, Evgeni Korotyaev

Journal:

Journal of Functional Analysis

Year:

2003

Language:

english

File:

PDF, 268 KB

english, 2003

7

On the resonances and eigenvalues for a 1D half-crystal with localised impurity

Korotyaev, Evgeny L., Schmidt, Karl Michael

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2012

Language:

english

File:

PDF, 406 KB

english, 2012

8

Inverse problem and estimates for periodic Zakharov-Shabat systems

Korotyaev, Evgeny

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2005

Language:

english

File:

PDF, 286 KB

english, 2005

9

Conformal spectral theory for the monodromy matrix

Korotyaev, Evgeny

Journal:

Transactions of the American Mathematical Society

Year:

2010

Language:

english

File:

PDF, 422 KB

english, 2010

10

KdV Hamiltonian as a Function of Actions

Korotyaev, Evgeny L., Kuksin, Sergei

Journal:

Journal of Dynamical and Control Systems

Year:

2016

Language:

english

File:

PDF, 1.08 MB

english, 2016

11

Schrödinger operators with guided potentials on periodic graphs

Korotyaev, Evgeny, Saburova, Natalia

Journal:

Proceedings of the American Mathematical Society

Year:

2017

Language:

english

File:

PDF, 315 KB

english, 2017

12

Resonances of 4th order differential operators

Badanin, Andrey, Korotyaev, Evgeny L.

Journal:

Asymptotic Analysis

Year:

2019

Language:

english

File:

PDF, 428 KB

english, 2019

13

Estimates for the Hill Operator, I

Evgeni Korotyaev

Journal:

Journal of Differential Equations

Year:

2000

Language:

english

File:

PDF, 202 KB

english, 2000

14

Marchenko–Ostrovki Mapping for Periodic Zakharov–Shabat Systems

Evgeni Korotyaev

Journal:

Journal of Differential Equations

Year:

2001

Language:

english

File:

PDF, 220 KB

english, 2001

15

Estimates for the Hill operator, II

Evgeny Korotyaev

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 359 KB

english, 2006

16

Estimates for periodic Zakharov–Shabat operators

Evgeny L. Korotyaev, Pavel Kargaev

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 270 KB

english, 2010

17

Weyl–Titchmarsh functions of vector-valued Sturm–Liouville operators on the unit interval

Dmitry Chelkak, Evgeny Korotyaev

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 373 KB

english, 2009

18

Periodic “weighted” operators

Evgeni Korotyaev

Journal:

Journal of Differential Equations

Year:

2003

Language:

english

File:

PDF, 280 KB

english, 2003

19

Inverse problem and the trace formula for the Hill operator, II

Evgeni Korotyaev

Journal:

Mathematische Zeitschrift

Year:

1999

Language:

english

File:

PDF, 189 KB

english, 1999

20

Lattice Dislocations in a 1-Dimensional Model

Evgeni Korotyaev

Journal:

Communications in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 162 KB

english, 2000

21

Spectral Asymptotics of the Harmonic Oscillator Perturbed by Bounded Potentials

Markus Klein, Evgeny Korotyaev, Alexis Pokrovski

Journal:

Annales Henri Poincaré

Year:

2005

Language:

english

File:

PDF, 454 KB

english, 2005

22

The Inverse Problem for Perturbed Harmonic Oscillator on the Half-Line with a Dirichlet Boundary Condition

Dmitry Chelkak, Evgeny Korotyaev

Journal:

Annales Henri Poincaré

Year:

2007

Language:

english

File:

PDF, 362 KB

english, 2007

23

Schrödinger Operators on Zigzag Nanotubes

Evgeny Korotyaev, Igor Lobanov

Journal:

Annales Henri Poincaré

Year:

2007

Language:

english

File:

PDF, 371 KB

english, 2007

24

Spectral Estimates for Periodic Jacobi Matrices

Evgeni Korotyaev, Igor V. Krasovsky

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 235 KB

english, 2003

25

Inverse Problem for Harmonic Oscillator Perturbed by Potential, Characterization

Dmitri Chelkak, Pavel Kargaev, Evgeni Korotyaev

Journal:

Communications in Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 561 KB

english, 2004

26

Inverse Problem for the Discrete 1D Schrödinger Operator with Small Periodic Potentials

Evgeny Korotyaev, Anton Kutsenko

Journal:

Communications in Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 240 KB

english, 2006

27

Estimates of Periodic Potentials in Terms of Gap Lengths

Evgeni Korotyaev

Journal:

Communications in Mathematical Physics

Year:

1998

Language:

english

File:

PDF, 110 KB

english, 1998

28

Effective Masses for Zigzag Nanotubes in Magnetic Fields

Evgeny Korotyaev

Journal:

Letters in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 249 KB

english, 2008

29

10.1155/s1073792803209107

Korotyaev, Evgeni

Journal:

International Mathematics Research Notices

Year:

2003

Language:

english

File:

PDF, 186 KB

english, 2003

30

Inverse Problems, Trace Formulae for Discrete Schrödinger Operators

Hiroshi Isozaki, Evgeny Korotyaev

Journal:

Annales Henri Poincaré

Year:

2012

Language:

english

File:

PDF, 473 KB

english, 2012

31

Periodic Jacobi operator with finitely supported perturbations: The inverse resonance problem

Alexei Iantchenko, Evgeny Korotyaev

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 268 KB

english, 2012

32

Resonances for periodic Jacobi operators with finitely supported perturbations

Alexei Iantchenko, Evgeny Korotyaev

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 244 KB

english, 2012

33

Spectral asymptotics for the third order operator with periodic coefficients

Andrey Badanin, Evgeny Korotyaev

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 877 KB

english, 2012

34

Sharp eigenvalue asymptotics for fourth order operators on the circle

Badanin, Andrey, Korotyaev, Evgeny

Journal:

Journal of Mathematical Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 333 KB

english, 2014

35

Schrödinger operators on periodic discrete graphs

Korotyaev, Evgeny, Saburova, Natalia

Journal:

Journal of Mathematical Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 1.79 MB

english, 2014

36

Global Estimates of Resonances for 1D Dirac Operators

Korotyaev, Evgeny L.

Journal:

Letters in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 170 KB

english, 2014

37

Resonances for 1D massless Dirac operators

Iantchenko, Alexei, Korotyaev, Evgeny

Journal:

Journal of Differential Equations

Year:

2014

Language:

english

File:

PDF, 371 KB

english, 2014

38

Identities for the dirichlet integral of subharmonic functions from the cartright class

Kargaev, Pavel, Evgeny, Korotyaev

Journal:

Complex Variables

Year:

2005

Language:

english

File:

PDF, 195 KB

english, 2005

39

Inverse Spectral Problem for the Periodic Camassa-Holm Equation

Korotyaev, Evgeni

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 154 KB

english, 2004

40

REMARK ON ESTIMATE OF A POTENTIAL IN TERMS OF EIGENVALUES OF THE STURM–LIOUVILLE OPERATOR

KOROTYAEV, EVGENY

Journal:

Modern Physics Letters B

Year:

2008

Language:

english

File:

PDF, 116 KB

english, 2008

41

Periodic Jacobi operator with finitely supported perturbation on the half-lattice

Iantchenko, Alexei, Korotyaev, Evgeny

Journal:

Inverse Problems

Year:

2011

Language:

english

File:

PDF, 68 KB

english, 2011

42

10.1155/IMRN.2005.2775

Badanin, Andrei, Korotyaev, Evgeny

Journal:

International Mathematics Research Notices

Year:

2005

Language:

english

File:

PDF, 496 KB

english, 2005

43

Spectral band localization for Schrödinger operators on discrete periodic graphs

Korotyaev, Evgeny, Saburova, Natalia

Journal:

Proceedings of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 289 KB

english, 2015

44

Inverse problems and sharp eigenvalue asymptotics for Euler–Bernoulli operators

Badanin, Andrey, Korotyaev, Evgeny

Journal:

Inverse Problems

Year:

2015

Language:

english

File:

PDF, 118 KB

english, 2015

45

A magnetic Schrödinger operator on a periodic graph

Badanin, Andrey V, Korotyaev, Evgeny L

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2010

Language:

english

File:

PDF, 155 KB

english, 2010

46

10.1155/s1073792896000335

Korotyaev, Evgeni

Journal:

International Mathematics Research Notices

Year:

1996

Language:

english

File:

PDF, 486 KB

english, 1996

47

10.1155/s1073792899000689

Korotyaev, Evgeni

Journal:

International Mathematics Research Notices

Year:

1999

Language:

english

File:

PDF, 36 KB

english, 1999

48

10.1155/S1073792897000081

Korotyaev, Evgeni

Journal:

International Mathematics Research Notices

Year:

1997

Language:

english

File:

PDF, 222 KB

english, 1997

49

10.1155/S1073792802205176

Korotyaev, Evgeni

Journal:

International Mathematics Research Notices

Year:

2002

Language:

english

File:

PDF, 181 KB

english, 2002

50

Parametrization of periodic weighted operators in terms of gap lengths

Klein, Markus, Korotyaev, Evgeni, Klein, Markus

Journal:

Inverse Problems

Year:

2000

Language:

english

File:

PDF, 201 KB

english, 2000