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Korotyaev, Evgeny Leonidovich

Statistics Math-Net.Ru
Total publications: 26
Scientific articles: 26
Presentations: 6

Number of views:
This page:1764
Abstract pages:4779
Full texts:1356
References:498
Associate professor
Doctor of physico-mathematical sciences
Birth date: 24.10.1952
E-mail:
Keywords: spectrum, operator, inverse problems.
UDC: 517.9, 517.94, 517.984.5

Subject:

Spectral theory, inverse problems.

   
Main publications:
  1. P. Kargaev, E. Korotyaev, “The inverse problem for the Hill operator, a direct approach”, Invent. Math., 123:3 (1997), 567–593
  2. E. Korotyaev, “Characterization of the spectrum of Schrödinger operators with periodic distributions”, Int. Math. Res. Not., 37 (2003), 2019–2031
  3. E. Korotyaev, “The estimates of periodic potentials in terms of effective masses.”, Comm. Math. Phys., 183:2 (1997), 383–400  adsnasa
  4. E. Korotyaev, “Estimates of periodic potentials in terms of gap lengths”, Comm. Math. Phys., 197:3 (1998), 521–526  adsnasa
  5. D. Chelkak, P. Kargaev, E. Korotyaev, “Inverse problem for harmonic oscillator perturbed by potential, characterization”, Comm. Math. Phys., 249:1 (2004), 133–196  crossref  mathscinet  zmath  adsnasa

http://www.mathnet.ru/eng/person21408
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/211673

Publications in Math-Net.Ru
2020
1. E. L. Korotyaev, V. A. Sloushch, “Asymptotics and estimates for the discrete spectrum of the Schrö dinger operator on a discrete periodic graph”, Algebra i Analiz, 32:1 (2020),  12–39  mathnet
2019
2. E. L. Korotyaev, “Inverse problems for finite vector-valued Jacobi operators”, Funktsional. Anal. i Prilozhen., 53:3 (2019),  23–32  mathnet  elib
2018
3. E. Korotyaev, N. Saburova, “Spectral estimates for Schrödinger operators on periodic discrete graphs”, Algebra i Analiz, 30:4 (2018),  61–106  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:4 (2019), 667–698  isi  scopus
2017
4. E. L. Korotyaev, A. Laptev, “Trace formulas for a discrete Schrödinger operator”, Funktsional. Anal. i Prilozhen., 51:3 (2017),  81–86  mathnet  elib; Funct. Anal. Appl., 51:3 (2017), 225–229  isi  scopus
2013
5. A. Badanin, E. Korotyaev, “Third order operator with periodic coefficients on the real axis”, Algebra i Analiz, 25:5 (2013),  1–31  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:5 (2014), 713–734  isi  scopus
2010
6. A. V. Badanin, E. L. Korotyaev, “Spectral estimates for a periodic fourth-order operator”, Algebra i Analiz, 22:5 (2010),  1–48  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:5 (2011), 703–736  isi  scopus
7. A. V. Badanin, E. L. Korotyaev, “A magnetic Schrödinger operator on a periodic graph”, Mat. Sb., 201:10 (2010),  3–46  mathnet  mathscinet  zmath  elib; Sb. Math., 201:10 (2010), 1403–1448  isi  elib  scopus
2009
8. E. L. Korotyaev, D. S. Chelkak, “The inverse Sturm–Liouville problem with mixed boundary conditions”, Algebra i Analiz, 21:5 (2009),  114–137  mathnet  mathscinet  zmath; St. Petersburg Math. J., 21:5 (2010), 761–778  isi  scopus
2004
9. E. Korotyaev, A. Kutsenko, “Inverse problem for the discrete periodic Schrödinger operator”, Zap. Nauchn. Sem. POMI, 315 (2004),  96–101  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 134:4 (2006), 2292–2294
1995
10. E. L. Korotyaev, A. B. Pushnitskii, “Scattering on an anisotropic potential in a constant electric field”, Zap. Nauchn. Sem. POMI, 230 (1995),  103–114  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 91:2 (1998), 2768–2775
1994
11. E. L. Korotyaev, N. E. Firsova, “Diffusion in layered media at large time”, TMF, 98:1 (1994),  106–148  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 98:1 (1994), 72–99  isi
1991
12. E. L. Korotyaev, “On some properties of quasimomentum of one-dimensional Hill operator”, Zap. Nauchn. Sem. LOMI, 195 (1991),  48–57  mathnet  mathscinet; J. Soviet Math., 62:6 (1992), 3081–3087
1989
13. E. L. Korotyaev, “On scattering in an external, homogeneous, time-periodic magnetic field”, Mat. Sb., 180:4 (1989),  491–512  mathnet  mathscinet  zmath; Math. USSR-Sb., 66:2 (1990), 499–522  isi
14. E. L. Korotyaev, “Dynamic stark effect in a three-particle system”, TMF, 79:1 (1989),  102–116  mathnet  mathscinet; Theoret. and Math. Phys., 79:1 (1989), 413–424  isi
1987
15. E. L. Korotyaev, “On the scattering theory of several particles in an external electric field”, Mat. Sb. (N.S.), 132(174):2 (1987),  182–201  mathnet  mathscinet; Math. USSR-Sb., 60:1 (1988), 177–196
16. E. L. Korotyaev, “Resonance scattering in a pair of spaces”, TMF, 70:3 (1987),  432–442  mathnet  mathscinet; Theoret. and Math. Phys., 70:3 (1987), 304–312  isi
1985
17. E. L. Korotyaev, “Scattering of many particles in an external electric field”, Dokl. Akad. Nauk SSSR, 284:1 (1985),  107–110  mathnet  mathscinet
18. E. L. Korotyaev, “Factorization of three-particle $S$ matrix at high energies”, TMF, 63:3 (1985),  388–393  mathnet  mathscinet; Theoret. and Math. Phys., 63:3 (1985), 584–588  isi
19. E. L. Korotyaev, “Scattering theory for a three-particle system with two-body interactions periodic in time”, TMF, 62:2 (1985),  242–252  mathnet  mathscinet; Theoret. and Math. Phys., 62:2 (1985), 163–171  isi
1984
20. E. L. Korotyaev, “On the eigenfunctions of the monodromy operator of the Schrödinger operator with a time-periodic potential”, Mat. Sb. (N.S.), 124(166):3(7) (1984),  431–446  mathnet  mathscinet  zmath; Math. USSR-Sb., 52:2 (1985), 423–438
1980
21. E. L. Korotyaev, “Scattering theory for three particles with pair potentials that are periodic in time”, Dokl. Akad. Nauk SSSR, 255:4 (1980),  836–839  mathnet  mathscinet
22. E. L. Korotyaev, “On the spectrum of monodromy operator of the Schrödinger operator with a potential which is periodic with respect to time”, Zap. Nauchn. Sem. LOMI, 96 (1980),  101–104  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 715–717
1979
23. E. L. Korotyaev, “The scattering problem for a long-range periodic in time potential”, Zap. Nauchn. Sem. LOMI, 84 (1979),  114–116  mathnet  mathscinet  zmath; J. Soviet Math., 21:3 (1983), 333–334
1977
24. V. G. Deich, E. L. Korotyaev, D. R. Yafaev, “Potential scattering taking account of spatial anisotropy”, Dokl. Akad. Nauk SSSR, 235:4 (1977),  749–752  mathnet  mathscinet  zmath
25. V. G. Deich, E. L. Korotyaev, D. R. Yafaev, “Theory of potential scattering, taking into account spatial anisotropy”, Zap. Nauchn. Sem. LOMI, 73 (1977),  35–51  mathnet  mathscinet  zmath; J. Soviet Math., 34:6 (1986), 2040–2050
26. E. L. Korotyaev, D. R. Yafaev, “Traces on surfaces for function classes with dominant mixed derivatives”, Zap. Nauchn. Sem. LOMI, 69 (1977),  106–123  mathnet  mathscinet  zmath; J. Soviet Math., 10:1 (1978), 73–86

Presentations in Math-Net.Ru
1. Inverse spectral theory for perturbed torus (jointly with Hiroshi Isozaki)
E. L. Korotyaev
Seminar on Operator Theory and Function Theory
December 9, 2019 17:30
2. Discretisation of inverse scattering on the half-line and conformal mappings
E. Korotyaev
Seminar on Operator Theory and Function Theory
May 6, 2019 17:30
3. Inverse resonance scattering for rotationally symmetric manifolds
E. L. Korotyaev
Seminar on Operator Theory and Function Theory
April 16, 2018 17:30
4. Резонансы дифференциальных операторов третьего порядка
E. L. Korotyaev
Seminar on Operator Theory and Function Theory
May 16, 2016 17:30
5. Операторы Шредингера с комплексным потенциалом на кубической решетке ( по совместной работе с А.Лаптевым и Я.Молером)
E. L. Korotyaev
Seminar on Operator Theory and Function Theory
March 30, 2015 17:30
6. Оценки резонансов и нули целых функций
E. L. Korotyaev
Seminar on Operator Theory and Function Theory
December 10, 2012 17:30

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