P. Kargaev, E. Korotyaev, “The inverse problem for the Hill operator, a direct approach”, Invent. Math., 123:3 (1997), 567–593
E. Korotyaev, “Characterization of the spectrum of
Schrödinger operators with periodic distributions”, Int. Math. Res. Not., 37 (2003), 2019–2031
E. Korotyaev, “The estimates of periodic potentials in terms of effective masses.”, Comm. Math. Phys., 183:2 (1997), 383–400
E. Korotyaev, “Estimates of periodic potentials in terms of gap
lengths”, Comm. Math. Phys., 197:3 (1998), 521–526
D. Chelkak, P. Kargaev, E. Korotyaev, “Inverse problem for harmonic oscillator perturbed by potential, characterization”, Comm. Math. Phys., 249:1 (2004), 133–196
A. V. Badanin, E. L. Korotyaev, “Inverse problem for the $L$-operator in the lax pair of the Boussinesq equation on the circle”, Funktsional. Anal. i Prilozhen., 58:3 (2024), 140–144; Funct. Anal. Appl., 58:3 (2024), 340–343
2021
2.
E. L. Korotyaev, D. S. Mokeev, “Resonances for the Dirac Operator on the Half-Line”, Funktsional. Anal. i Prilozhen., 55:4 (2021), 91–94; Funct. Anal. Appl., 55:4 (2021), 326–329
2020
3.
E. L. Korotyaev, V. A. Sloushch, “Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph”, Algebra i Analiz, 32:1 (2020), 12–39; St. Petersburg Math. J., 32:1 (2021), 9–29
E. Korotyaev, N. Saburova, “Spectral estimates for Schrödinger operators on periodic discrete graphs”, Algebra i Analiz, 30:4 (2018), 61–106; St. Petersburg Math. J., 30:4 (2019), 667–698
E. L. Korotyaev, A. Laptev, “Trace formulas for a discrete Schrödinger operator”, Funktsional. Anal. i Prilozhen., 51:3 (2017), 81–86; Funct. Anal. Appl., 51:3 (2017), 225–229
A. Badanin, E. Korotyaev, “Third order operator with periodic coefficients on the real axis”, Algebra i Analiz, 25:5 (2013), 1–31; St. Petersburg Math. J., 25:5 (2014), 713–734
A. V. Badanin, E. L. Korotyaev, “Spectral estimates for a periodic fourth-order operator”, Algebra i Analiz, 22:5 (2010), 1–48; St. Petersburg Math. J., 22:5 (2011), 703–736
A. V. Badanin, E. L. Korotyaev, “A magnetic Schrödinger operator on a periodic graph”, Mat. Sb., 201:10 (2010), 3–46; Sb. Math., 201:10 (2010), 1403–1448
E. L. Korotyaev, D. S. Chelkak, “The inverse Sturm–Liouville problem with mixed boundary conditions”, Algebra i Analiz, 21:5 (2009), 114–137; St. Petersburg Math. J., 21:5 (2010), 761–778
E. Korotyaev, A. Kutsenko, “Inverse problem for the discrete periodic Schrödinger operator”, Zap. Nauchn. Sem. POMI, 315 (2004), 96–101; J. Math. Sci. (N. Y.), 134:4 (2006), 2292–2294
P. P. Kargaev, E. L. Korotyaev, “Inverse problems for the Hill operator, the direct approach”, Dokl. Akad. Nauk, 351:2 (1996), 158–160
1995
13.
E. L. Korotyaev, A. B. Pushnitskii, “Scattering on an anisotropic potential in a constant electric field”, Zap. Nauchn. Sem. POMI, 230 (1995), 103–114; J. Math. Sci. (New York), 91:2 (1998), 2768–2775
1994
14.
P. P. Kargaev, E. L. Korotyaev, “Effective masses for the Hill operator, and conformal mappings”, Dokl. Akad. Nauk, 336:3 (1994), 312–315; Dokl. Math., 39:5 (1994), 300–303
15.
E. L. Korotyaev, “Wave propagation in a one-dimensional periodic medium”, Dokl. Akad. Nauk, 336:2 (1994), 171–174; Dokl. Math., 39:5 (1994), 291–294
E. L. Korotyaev, “The Enss method taking into account anisotropy”, Dokl. Akad. Nauk, 324:5 (1992), 923–927; Dokl. Math., 45:3 (1992), 653–658
1991
18.
E. L. Korotyaev, “On some properties of quasimomentum of one-dimensional Hill operator”, Zap. Nauchn. Sem. LOMI, 195 (1991), 48–57; J. Soviet Math., 62:6 (1992), 3081–3087
E. L. Korotyaev, “On scattering in an external, homogeneous, time-periodic magnetic field”, Mat. Sb., 180:4 (1989), 491–512; Math. USSR-Sb., 66:2 (1990), 499–522
E. L. Korotyaev, “Dynamic stark effect in a three-particle system”, TMF, 79:1 (1989), 102–116; Theoret. and Math. Phys., 79:1 (1989), 413–424
1987
21.
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; Math. USSR-Sb., 60:1 (1988), 177–196
E. L. Korotyaev, “Factorization of three-particle $S$ matrix at high energies”, TMF, 63:3 (1985), 388–393; Theoret. and Math. Phys., 63:3 (1985), 584–588
E. L. Korotyaev, “Scattering theory for a three-particle system with two-body interactions periodic in time”, TMF, 62:2 (1985), 242–252; Theoret. and Math. Phys., 62:2 (1985), 163–171
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; Math. USSR-Sb., 52:2 (1985), 423–438
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; J. Soviet Math., 21:5 (1983), 715–717
E. L. Korotyaev, “The scattering problem for a long-range periodic in time potential”, Zap. Nauchn. Sem. LOMI, 84 (1979), 114–116; J. Soviet Math., 21:3 (1983), 333–334
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; J. Soviet Math., 34:6 (1986), 2040–2050
E. L. Korotyaev, D. R. Yafaev, “Traces on surfaces for function classes with dominant mixed derivatives”, Zap. Nauchn. Sem. LOMI, 69 (1977), 106–123; J. Soviet Math., 10:1 (1978), 73–86
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