Edit Profile (opens in new tab) Korotyaev, Evgeny L. Compute Distance To: Compute Author ID: korotyaev.evgeny-l Published as: Korotyaev, Evgeny; Korotyaev, E. L.; Korotyaev, Evgeni; Korotyaev, Evgeny L.; Korotyaev, E. more...less External Links: ORCID · dblp Documents Indexed: 147 Publications since 1977 Reviewing Activity: 5 Reviews Co-Authors: 26 Co-Authors with 92 Joint Publications 386 Co-Co-Authors all top 5 Co-Authors 55 single-authored 12 Saburova, Natalia 11 Badanin, Andrey 10 Kargaev, Pavel Petrovich 8 Chelkak, Dmitry 7 Iantchenko, Alexei 7 Isozaki, Hiroshi 7 Kutsenko, Anton A. 5 Pushnitski, Alexander B. 5 Yafaev, Dimitri R. 3 Badanin, A. V. 3 Badanin, Andrei 3 Deĭch, V. G. 3 Klein, Markus 3 Mokeev, Dmitriĭ Borisovich 2 Laptev, Ari 2 Møller, Jacob Schach 1 Brüning, Jochen 1 Firsova, Natalie E. 1 Krasovsky, Igor V. 1 Kuksin, Sergeĭ B. 1 Lobanov, Igor 1 Mokeev, D. S. 1 Pokrovski, Alexis 1 Safronov, Oleg 1 Schmidt, Karl Michael 1 Sloushch, Vladimir Anatolevich all top 5 Serials 11 Journal of Differential Equations 10 Asymptotic Analysis 9 Journal of Mathematical Analysis and Applications 9 IMRN. International Mathematics Research Notices 8 Russian Journal of Mathematical Physics 7 Communications in Mathematical Physics 7 Journal of Functional Analysis 6 Letters in Mathematical Physics 5 St. Petersburg Mathematical Journal 4 Inverse Problems 4 Journal of Soviet Mathematics 4 Proceedings of the American Mathematical Society 4 Doklady Mathematics 4 Annales Henri Poincaré 4 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 3 Functional Analysis and its Applications 3 Dynamics of Partial Differential Equations 2 Applicable Analysis 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Transactions of the American Mathematical Society 2 Mathematics of the USSR, Sbornik 2 Physics-Doklady 2 Bulletin of Mathematical Sciences 1 Modern Physics Letters B 1 Journal d’Analyse Mathématique 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Bulletin of the London Mathematical Society 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Soviet Mathematics. Doklady 1 Complex Variables. Theory and Application 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Russian Academy of Sciences. Doklady. Mathematics 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 Journal of Inverse and Ill-Posed Problems 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Dynamical and Control Systems 1 Journal of Nonlinear Mathematical Physics 1 Communications on Pure and Applied Analysis 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Computing Science and Mathematics 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics all top 5 Fields 82 Ordinary differential equations (34-XX) 75 Operator theory (47-XX) 47 Partial differential equations (35-XX) 40 Quantum theory (81-XX) 10 Difference and functional equations (39-XX) 7 Combinatorics (05-XX) 7 Functions of a complex variable (30-XX) 5 Optics, electromagnetic theory (78-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 121 Publications have been cited 1,030 times in 362 Documents Cited by ▼ Year ▼ Characterization of the spectrum of Schrödinger operators with periodic distributions. Zbl 1104.34059Korotyaev, Evgeni 45 2003 Schrödinger operators on zigzag nanotubes. Zbl 1375.81098Korotyaev, Evgeny; Lobanov, Igor 39 2007 Inverse problems, trace formulae for discrete Schrödinger operators. Zbl 1250.81124Isozaki, Hiroshi; Korotyaev, Evgeny 35 2012 Inverse resonance scattering on the real line. Zbl 1074.34081Korotyaev, Evgeny 34 2005 The inverse problem for the Hill operator. A direct approach. Zbl 0878.34011Kargaev, Pavel; Korotyaev, Evgeni 34 1997 Effective masses and conformal mappings. Zbl 0828.34076Kargaev, P.; Korotyaev, E. 28 1995 Schrödinger operators on periodic discrete graphs. Zbl 1297.47050Korotyaev, Evgeny; Saburova, Natalia 26 2014 Inverse resonance scattering on the half line. Zbl 1064.34007Korotyaev, Evgeni 25 2004 Stability for inverse resonance problem. Zbl 1071.34010Korotyaev, Evgeni 25 2004 Spectral band localization for Schrödinger operators on discrete periodic graphs. Zbl 1333.47030Korotyaev, Evgeny; Saburova, Natalia 22 2015 Estimates of periodic potentials in terms of gap lengths. Zbl 0924.34073Korotyaev, Evgeni 21 1998 Inverse problem and the trace formula for the Hill operator. II. Zbl 0929.34016Korotyaev, Evgeni 21 1999 Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval. Zbl 1178.34014Chelkak, Dmitry; Korotyaev, Evgeny 20 2009 Estimates for the Hill operator. I. Zbl 0954.34073Korotyaev, Evgeni 20 2000 The estimates of periodic potentials in terms of effective masses. Zbl 0870.34080Korotyaev, E. 19 1997 A trace formula and high-energy spectral asymptotics for the perturbed Landau Hamiltonian. Zbl 1069.35048Korotyaev, E.; Pushnitski, A. 17 2004 Resonances for 1D Stark operators. Zbl 1460.34071Korotyaev, Evgeny L. 17 2017 Inverse problem for harmonic oscillator perturbed by potential, characterization. Zbl 1085.81055Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni 16 2004 Magnetic Schrödinger operators on periodic discrete graphs. Zbl 1355.81081Korotyaev, Evgeny; Saburova, Natalia 16 2017 Inverse problem for periodic “weighted” operators. Zbl 0970.47021Korotyaev, Evgeni 15 2000 Resonance theory for perturbed Hill operator. Zbl 1259.34088Korotyaev, Evgeny 15 2011 The inverse problem for the Hill operator. I. Zbl 0873.34011Korotyaev, Evgeni 15 1997 Lattice dislocations in a 1-dimensional model. Zbl 0962.34064Korotyaev, Evgeni 14 2000 Metric properties of conformal mappings on the complex plane with parallel slits. Zbl 0868.30008Korotyaev, Evgeni 14 1996 Estimates for the Hill operator. II. Zbl 1098.34070Korotyaev, Evgeny 12 2006 Spectral estimates for Schrödinger operators on periodic discrete graphs. Zbl 1428.35653Korotyaev, E.; Saburova, N. 12 2019 Spectral estimates for periodic Jacobi matrices. Zbl 1022.47021Korotyaev, Evgeni; Krasovsky, Igor V. 12 2003 Asymptotics of resonances for 1D Stark operators. Zbl 1397.34152Korotyaev, Evgeny L. 12 2018 Resonances for 1D massless Dirac operators. Zbl 1290.34086Iantchenko, Alexei; Korotyaev, Evgeny 11 2014 The inverse problem for perturbed harmonic oscillator on the half-line with a Dirichlet boundary condition. Zbl 1130.81036Chelkak, Dmitry; Korotyaev, Evgeny 11 2007 On scattering in an external, homogeneous, time-periodic magnetic field. Zbl 0706.35104Korotyaev, E. L. 10 1990 Schrödinger operator with a junction of two 1-dimensional periodic potentials. Zbl 1119.34067Korotyaev, Evgeny 10 2005 Resonances for Dirac operators on the half-line. Zbl 1297.47048Iantchenko, Alexei; Korotyaev, Evgeny 10 2014 Spectral estimates for a periodic fourth-order operator. Zbl 1230.34071Badanin, A. V.; Korotyaev, E. L. 10 2011 The propagation of the waves in periodic media at large time. Zbl 0951.34054Korotyaev, Evgeni 10 1997 On the resonances and eigenvalues for a 1D half-crystal with localised impurity. Zbl 1251.47066Korotyaev, Evgeny L.; Schmidt, Karl Michael 10 2012 Zigzag nanoribbons in external electric fields. Zbl 1194.35478Korotyaev, Evgeny L.; Kutsenko, Anton 10 2010 Inverse problem and estimates for periodic Zakharov–Shabat systems. Zbl 1088.34006Korotyaev, Evgeny 9 2005 Effective masses for Laplacians on periodic graphs. Zbl 1331.35249Korotyaev, Evgeny; Saburova, Natalia 9 2016 Effective masses for zigzag nanotubes in magnetic fields. Zbl 1136.81370Korotyaev, Evgeny 9 2008 Spectral estimates for Schrödinger operators with periodic matrix potentials on the real line. Zbl 1155.47046Chelkak, Dmitri; Korotyaev, Evgeny 9 2006 An inverse problem for an harmonic oscillator perturbed by potential: uniqueness. Zbl 1030.34085Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni 9 2003 Trace formulae and high energy asymptotics for the Stark operator. Zbl 1106.35305Korotyaev, E.; Pushnitski, A. 9 2003 Periodic “weighted” operators. Zbl 1029.34012Korotyaev, Evgeni 9 2003 Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices. Zbl 1403.39017Korotyaev, Evgeny; Laptev, Ari 9 2018 Spectral asymptotics for periodic fourth-order operators. Zbl 1098.34020Badanin, Andrei; Korotyaev, Evgeny 8 2005 Periodic Jacobi operator with finitely supported perturbation on the half-lattice. Zbl 1239.47023Iantchenko, Alexei; Korotyaev, Evgeny 8 2011 The inverse Sturm-Liouville problem with mixed boundary conditions. Zbl 1225.34025Korotyaev, E.; Chelkak, D. 8 2010 Spectral asymptotics for the third order operator with periodic coefficients. Zbl 1273.47074Badanin, Andrey; Korotyaev, Evgeny 8 2012 Invariants for Laplacians on periodic graphs. Zbl 1454.47038Korotyaev, Evgeny; Saburova, Natalia 8 2020 Estimates of bands for Laplacians on periodic equilateral metric graphs. Zbl 1337.05073Korotyaev, Evgeny; Saburova, Natalia 8 2016 Weighted estimates for the Laplacian on the cubic lattice. Zbl 1427.47014Korotyaev, Evgeny L.; Møller, Jacob Schach 8 2019 Schrödinger operators with guided potentials on periodic graphs. Zbl 1417.47011Korotyaev, Evgeny; Saburova, Natalia 8 2017 Spectral estimates for matrix-valued periodic Dirac operators. Zbl 1159.35393Korotyaev, Evgeny 7 2008 Invariance principle for inverse problems. Zbl 1023.34080Korotyaev, Evgeni 7 2002 The Marchenko–Ostrovski mapping and the trace formula for the Camassa–Holm equation. Zbl 1044.34047Badanin, Andrei; Klein, Markus; Korotyaev, Evgeni 7 2003 Even order periodic operators on the real line. Zbl 1239.34101Badanin, Andrey; Korotyaev, Evgeny L. 7 2012 Estimates of 1D resonances in terms of potentials. Zbl 1364.34123Korotyaev, Evgeny 7 2016 Schrödinger operator on the zigzag half-nanotube in magnetic field. Zbl 1208.47031Iantchenko, A.; Korotyaev, E. 6 2010 Marchenko-Ostrovski mapping for periodic Zakharov-Shabat systems. Zbl 1043.34093Korotyaev, Evgeni 6 2001 On the high-energy asymptotics of the integrated density of states. Zbl 1075.35542Korotyaev, E.; Pushnitski, A. 6 2003 Gap-length mapping for periodic Jacobi matrices. Zbl 1140.39315Korotyaev, E. 6 2006 Sharp eigenvalue asymptotics for fourth order operators on the circle. Zbl 1325.34100Badanin, Andrey; Korotyaev, Evgeny 5 2014 Borg-type uniqueness theorems for periodic Jacobi operators with matrix-valued coefficients. Zbl 1179.47030Korotyaev, Evgeny; Kutsenko, Anton 5 2009 Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators. Zbl 1318.34115Badanin, Andrey; Korotyaev, Evgeny 5 2015 Global estimates of resonances for 1D Dirac operators. Zbl 1295.34096Korotyaev, Evgeny L. 5 2014 Zigzag nanoribbons in external electric and magnetic fields. Zbl 1197.78009Korotyaev, Evgeny L.; Kutsenko, Anton A. 5 2010 Parametrization of periodic weighted operators in terms of gap lengths. Zbl 0990.47032Klein, Markus; Korotyaev, Evgeni 5 2000 Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem. Zbl 1116.34009Chelkak, Dmitry; Korotyaev, Evgeny 5 2006 Periodic Jacobi operator with finitely supported perturbations: the inverse resonance problem. Zbl 1244.47026Iantchenko, Alexei; Korotyaev, Evgeny 5 2012 Trace formulas for Schrödinger operators with complex potentials on a half line. Zbl 1442.47032Korotyaev, Evgeny 5 2020 Inverse problem for the discrete 1D Schrödinger operator with small periodic potentials. Zbl 1113.81123Korotyaev, Evgeny; Kutsenko, Anton 4 2006 An inverse problem for the discrete periodic Schrödinger operator. Zbl 1084.47023Korotyaev, E.; Kutsenko, A. 4 2004 A third order operator with periodic coefficients on the real line. Zbl 1310.34116Badanin, A. V.; Korotyaev, E. L. 4 2014 Inverse resonance scattering for Jacobi operators. Zbl 1312.47037Korotyaev, E. L. 4 2011 Lyapunov functions of periodic matrix-valued Jacobi operators. Zbl 1173.47019Korotyaev, Evgeny; Kutsenko, Anton 4 2008 Conformal spectral theory for the monodromy matrix. Zbl 1209.34105Korotyaev, Evgeny 4 2010 Scattering on periodic metric graphs. Zbl 07307142Korotyaev, Evgeny; Saburova, Natalia 4 2020 Laplacians on periodic graphs with guides. Zbl 1368.05095Korotyaev, Evgeny; Saburova, Natalia 4 2017 Inverse problems, trace formulae for Schrödinger operators on the square lattice. Zbl 1302.81158Isozaki, H.; Korotyaev, E. 3 2014 A magnetic Schrödinger operator on a periodic graph. Zbl 1214.34024Badanin, A. V.; Korotyaev, E. L. 3 2010 The Lyapunov function for Schrödinger operators with a periodic \(2\times 2\) matrix potential. Zbl 1100.35076Badanin, Andrei; Brüning, Jochen; Korotyaev, Evgeny 3 2006 Trace formulas for fourth order operators on unit interval. II. Zbl 1326.47046Badanin, Andrey; Korotyaev, Evgeny 3 2015 Spectral asymptotics of the harmonic oscillator perturbed by bounded potentials. Zbl 1105.81034Klein, Markus; Korotyaev, Evgeny; Pokrovski, Alexis 3 2005 Resonances for periodic Jacobi operators with finitely supported perturbations. Zbl 1250.47036Iantchenko, Alexei; Korotyaev, Evgeny 3 2012 Resonances of third order differential operators. Zbl 07087770Korotyaev, Evgeny L. 3 2019 Inverse spectral theory and the Minkowski problem for the surface of revolution. Zbl 06823426Isozaki, Hiroshi; Korotyaev, Evgeny L. 3 2017 Trace formula for fourth order operators on the circle. Zbl 1293.47042Badanin, Andrey; Korotyaev, Evgeny 2 2013 Identities for the Dirichlet integral of subharmonic functions from the Cartright class. Zbl 1062.31001Kargaev, Pavel; Korotyaev, Evgeny 2 2005 Marchenko-Ostrovski mappings for periodic Jacobi matrices. Zbl 1194.47032Korotyaev, E.; Kutsenko, A. 2 2007 KdV Hamiltonian as a function of actions. Zbl 1351.37243Korotyaev, Evgeny L.; Kuksin, Sergei 2 2016 Trace formulas for a discrete Schrödinger operator. Zbl 06835370Korotyaev, E. L.; Laptev, A. 2 2017 Global transformations preserving Sturm-Liouville spectral data. Zbl 1377.34032Isozaki, H.; Korotyaev, E. L. 2 2017 Trace formulas for Schrödinger operators on periodic graphs. Zbl 1481.35145Korotyaev, Evgeny; Saburova, Natalia 2 2022 Inverse spectral problem for the periodic Camassa-Holm equation. Zbl 1069.35093Korotyaev, Evgeni 1 2004 Inverse problem for harmonic oscillator perturbed by potential. Zbl 1073.34013Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni 1 2004 Estimates for solutions of KdV on the phase space of periodic distributions in terms of action variables. Zbl 1225.37077Korotyaev, Evgeny L. 1 2011 Spectrum of the monodromy operator of the Schrödinger operator with a potential which is periodic with respect to time. Zbl 0509.35063Korotyaev, E. L. 1 1983 On eigenfunctions of the monodromy operator of the Schrödinger operator with time-periodic potential. Zbl 0566.35034Korotyaev, E. L. 1 1984 On the eigenfunctions of the monodromy operator of the Schrödinger operator with a time-periodic potential. Zbl 0582.35030Korotyaev, E. L. 1 1985 Trace formulas for Schrödinger operators on periodic graphs. Zbl 1481.35145Korotyaev, Evgeny; Saburova, Natalia 2 2022 Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph. Zbl 1455.35161Korotyaev, E. L.; Sloushch, V. A. 1 2021 Inverse resonance scattering for Dirac operators on the half-line. Zbl 1459.37058Korotyaev, Evgeny; Mokeev, Dmitrii 1 2021 Third-order operators with three-point conditions associated with Boussinesq’s equation. Zbl 07305508Badanin, Andrey; Korotyaev, Evgeny L. 1 2021 Eigenvalues of periodic difference operators on lattice octants. Zbl 1461.81039Korotyaev, Evgeny 1 2021 Invariants for Laplacians on periodic graphs. Zbl 1454.47038Korotyaev, Evgeny; Saburova, Natalia 8 2020 Trace formulas for Schrödinger operators with complex potentials on a half line. Zbl 1442.47032Korotyaev, Evgeny 5 2020 Scattering on periodic metric graphs. Zbl 07307142Korotyaev, Evgeny; Saburova, Natalia 4 2020 Eigenvalue bounds for Stark operators with complex potentials. Zbl 1433.35207Korotyaev, Evgeny; Safronov, Oleg 1 2020 Trace formulas for Schrödinger operators with complex potentials. Zbl 1440.35055Korotyaev, E. 1 2020 Inverse spectral theory for perturbed torus. Zbl 1460.58016Isozaki, Hiroshi; Korotyaev, Evgeny L. 1 2020 Spectral estimates for Schrödinger operators on periodic discrete graphs. Zbl 1428.35653Korotyaev, E.; Saburova, N. 12 2019 Weighted estimates for the Laplacian on the cubic lattice. Zbl 1427.47014Korotyaev, Evgeny L.; Møller, Jacob Schach 8 2019 Resonances of third order differential operators. Zbl 07087770Korotyaev, Evgeny L. 3 2019 Resonances of 4th order differential operators. Zbl 1430.34094Badanin, Andrey; Korotyaev, Evgeny L. 1 2019 Asymptotics of resonances for 1D Stark operators. Zbl 1397.34152Korotyaev, Evgeny L. 12 2018 Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices. Zbl 1403.39017Korotyaev, Evgeny; Laptev, Ari 9 2018 New trace formulas in terms of resonances for three-dimensional Schrödinger operators. Zbl 1391.81082Isozaki, H.; Korotyaev, E. L. 1 2018 Resonances for 1D Stark operators. Zbl 1460.34071Korotyaev, Evgeny L. 17 2017 Magnetic Schrödinger operators on periodic discrete graphs. Zbl 1355.81081Korotyaev, Evgeny; Saburova, Natalia 16 2017 Schrödinger operators with guided potentials on periodic graphs. Zbl 1417.47011Korotyaev, Evgeny; Saburova, Natalia 8 2017 Laplacians on periodic graphs with guides. Zbl 1368.05095Korotyaev, Evgeny; Saburova, Natalia 4 2017 Inverse spectral theory and the Minkowski problem for the surface of revolution. Zbl 06823426Isozaki, Hiroshi; Korotyaev, Evgeny L. 3 2017 Trace formulas for a discrete Schrödinger operator. Zbl 06835370Korotyaev, E. L.; Laptev, A. 2 2017 Global transformations preserving Sturm-Liouville spectral data. Zbl 1377.34032Isozaki, H.; Korotyaev, E. L. 2 2017 Resonances for Euler-Bernoulli operator on the half-line. Zbl 1376.34072Badanin, Andrey; Korotyaev, Evgeny L. 1 2017 Effective masses for Laplacians on periodic graphs. Zbl 1331.35249Korotyaev, Evgeny; Saburova, Natalia 9 2016 Estimates of bands for Laplacians on periodic equilateral metric graphs. Zbl 1337.05073Korotyaev, Evgeny; Saburova, Natalia 8 2016 Estimates of 1D resonances in terms of potentials. Zbl 1364.34123Korotyaev, Evgeny 7 2016 KdV Hamiltonian as a function of actions. Zbl 1351.37243Korotyaev, Evgeny L.; Kuksin, Sergei 2 2016 Spectral band localization for Schrödinger operators on discrete periodic graphs. Zbl 1333.47030Korotyaev, Evgeny; Saburova, Natalia 22 2015 Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators. Zbl 1318.34115Badanin, Andrey; Korotyaev, Evgeny 5 2015 Trace formulas for fourth order operators on unit interval. II. Zbl 1326.47046Badanin, Andrey; Korotyaev, Evgeny 3 2015 Resonances for the radial Dirac operators. Zbl 1348.34139Iantchenko, Alexei; Korotyaev, Evgeny 1 2015 Schrödinger operators on periodic discrete graphs. Zbl 1297.47050Korotyaev, Evgeny; Saburova, Natalia 26 2014 Resonances for 1D massless Dirac operators. Zbl 1290.34086Iantchenko, Alexei; Korotyaev, Evgeny 11 2014 Resonances for Dirac operators on the half-line. Zbl 1297.47048Iantchenko, Alexei; Korotyaev, Evgeny 10 2014 Sharp eigenvalue asymptotics for fourth order operators on the circle. Zbl 1325.34100Badanin, Andrey; Korotyaev, Evgeny 5 2014 Global estimates of resonances for 1D Dirac operators. Zbl 1295.34096Korotyaev, Evgeny L. 5 2014 A third order operator with periodic coefficients on the real line. Zbl 1310.34116Badanin, A. V.; Korotyaev, E. L. 4 2014 Inverse problems, trace formulae for Schrödinger operators on the square lattice. Zbl 1302.81158Isozaki, H.; Korotyaev, E. 3 2014 Trace formula for fourth order operators on the circle. Zbl 1293.47042Badanin, Andrey; Korotyaev, Evgeny 2 2013 Inverse problems, trace formulae for discrete Schrödinger operators. Zbl 1250.81124Isozaki, Hiroshi; Korotyaev, Evgeny 35 2012 On the resonances and eigenvalues for a 1D half-crystal with localised impurity. Zbl 1251.47066Korotyaev, Evgeny L.; Schmidt, Karl Michael 10 2012 Spectral asymptotics for the third order operator with periodic coefficients. Zbl 1273.47074Badanin, Andrey; Korotyaev, Evgeny 8 2012 Even order periodic operators on the real line. Zbl 1239.34101Badanin, Andrey; Korotyaev, Evgeny L. 7 2012 Periodic Jacobi operator with finitely supported perturbations: the inverse resonance problem. Zbl 1244.47026Iantchenko, Alexei; Korotyaev, Evgeny 5 2012 Resonances for periodic Jacobi operators with finitely supported perturbations. Zbl 1250.47036Iantchenko, Alexei; Korotyaev, Evgeny 3 2012 Sharp asymptotics of the quasimomentum. Zbl 1267.34148Korotyaev, Evgeny L. 1 2012 Resonance theory for perturbed Hill operator. Zbl 1259.34088Korotyaev, Evgeny 15 2011 Spectral estimates for a periodic fourth-order operator. Zbl 1230.34071Badanin, A. V.; Korotyaev, E. L. 10 2011 Periodic Jacobi operator with finitely supported perturbation on the half-lattice. Zbl 1239.47023Iantchenko, Alexei; Korotyaev, Evgeny 8 2011 Inverse resonance scattering for Jacobi operators. Zbl 1312.47037Korotyaev, E. L. 4 2011 Estimates for solutions of KdV on the phase space of periodic distributions in terms of action variables. Zbl 1225.37077Korotyaev, Evgeny L. 1 2011 Zigzag nanoribbons in external electric fields. Zbl 1194.35478Korotyaev, Evgeny L.; Kutsenko, Anton 10 2010 The inverse Sturm-Liouville problem with mixed boundary conditions. Zbl 1225.34025Korotyaev, E.; Chelkak, D. 8 2010 Schrödinger operator on the zigzag half-nanotube in magnetic field. Zbl 1208.47031Iantchenko, A.; Korotyaev, E. 6 2010 Zigzag nanoribbons in external electric and magnetic fields. Zbl 1197.78009Korotyaev, Evgeny L.; Kutsenko, Anton A. 5 2010 Conformal spectral theory for the monodromy matrix. Zbl 1209.34105Korotyaev, Evgeny 4 2010 A magnetic Schrödinger operator on a periodic graph. Zbl 1214.34024Badanin, A. V.; Korotyaev, E. L. 3 2010 Estimates for periodic Zakharov-Shabat operators. Zbl 1204.34119Korotyaev, Evgeny L.; Kargaev, Pavel 1 2010 Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval. Zbl 1178.34014Chelkak, Dmitry; Korotyaev, Evgeny 20 2009 Borg-type uniqueness theorems for periodic Jacobi operators with matrix-valued coefficients. Zbl 1179.47030Korotyaev, Evgeny; Kutsenko, Anton 5 2009 Effective masses for zigzag nanotubes in magnetic fields. Zbl 1136.81370Korotyaev, Evgeny 9 2008 Spectral estimates for matrix-valued periodic Dirac operators. Zbl 1159.35393Korotyaev, Evgeny 7 2008 Lyapunov functions of periodic matrix-valued Jacobi operators. Zbl 1173.47019Korotyaev, Evgeny; Kutsenko, Anton 4 2008 A priori estimates for the Hill and Dirac operators. Zbl 1190.34113Korotyaev, E. 1 2008 Schrödinger operators on zigzag nanotubes. Zbl 1375.81098Korotyaev, Evgeny; Lobanov, Igor 39 2007 The inverse problem for perturbed harmonic oscillator on the half-line with a Dirichlet boundary condition. Zbl 1130.81036Chelkak, Dmitry; Korotyaev, Evgeny 11 2007 Marchenko-Ostrovski mappings for periodic Jacobi matrices. Zbl 1194.47032Korotyaev, E.; Kutsenko, A. 2 2007 Estimates for the Hill operator. II. Zbl 1098.34070Korotyaev, Evgeny 12 2006 Spectral estimates for Schrödinger operators with periodic matrix potentials on the real line. Zbl 1155.47046Chelkak, Dmitri; Korotyaev, Evgeny 9 2006 Gap-length mapping for periodic Jacobi matrices. Zbl 1140.39315Korotyaev, E. 6 2006 Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem. Zbl 1116.34009Chelkak, Dmitry; Korotyaev, Evgeny 5 2006 Inverse problem for the discrete 1D Schrödinger operator with small periodic potentials. Zbl 1113.81123Korotyaev, Evgeny; Kutsenko, Anton 4 2006 The Lyapunov function for Schrödinger operators with a periodic \(2\times 2\) matrix potential. Zbl 1100.35076Badanin, Andrei; Brüning, Jochen; Korotyaev, Evgeny 3 2006 Inverse resonance scattering on the real line. Zbl 1074.34081Korotyaev, Evgeny 34 2005 Schrödinger operator with a junction of two 1-dimensional periodic potentials. Zbl 1119.34067Korotyaev, Evgeny 10 2005 Inverse problem and estimates for periodic Zakharov–Shabat systems. Zbl 1088.34006Korotyaev, Evgeny 9 2005 Spectral asymptotics for periodic fourth-order operators. Zbl 1098.34020Badanin, Andrei; Korotyaev, Evgeny 8 2005 Spectral asymptotics of the harmonic oscillator perturbed by bounded potentials. Zbl 1105.81034Klein, Markus; Korotyaev, Evgeny; Pokrovski, Alexis 3 2005 Identities for the Dirichlet integral of subharmonic functions from the Cartright class. Zbl 1062.31001Kargaev, Pavel; Korotyaev, Evgeny 2 2005 Inverse resonance scattering on the half line. Zbl 1064.34007Korotyaev, Evgeni 25 2004 Stability for inverse resonance problem. Zbl 1071.34010Korotyaev, Evgeni 25 2004 A trace formula and high-energy spectral asymptotics for the perturbed Landau Hamiltonian. Zbl 1069.35048Korotyaev, E.; Pushnitski, A. 17 2004 Inverse problem for harmonic oscillator perturbed by potential, characterization. Zbl 1085.81055Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni 16 2004 An inverse problem for the discrete periodic Schrödinger operator. Zbl 1084.47023Korotyaev, E.; Kutsenko, A. 4 2004 Inverse spectral problem for the periodic Camassa-Holm equation. Zbl 1069.35093Korotyaev, Evgeni 1 2004 Inverse problem for harmonic oscillator perturbed by potential. Zbl 1073.34013Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni 1 2004 Characterization of the spectrum of Schrödinger operators with periodic distributions. Zbl 1104.34059Korotyaev, Evgeni 45 2003 Spectral estimates for periodic Jacobi matrices. Zbl 1022.47021Korotyaev, Evgeni; Krasovsky, Igor V. 12 2003 An inverse problem for an harmonic oscillator perturbed by potential: uniqueness. Zbl 1030.34085Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni 9 2003 Trace formulae and high energy asymptotics for the Stark operator. Zbl 1106.35305Korotyaev, E.; Pushnitski, A. 9 2003 Periodic “weighted” operators. Zbl 1029.34012Korotyaev, Evgeni 9 2003 The Marchenko–Ostrovski mapping and the trace formula for the Camassa–Holm equation. Zbl 1044.34047Badanin, Andrei; Klein, Markus; Korotyaev, Evgeni 7 2003 On the high-energy asymptotics of the integrated density of states. Zbl 1075.35542Korotyaev, E.; Pushnitski, A. 6 2003 Invariance principle for inverse problems. Zbl 1023.34080Korotyaev, Evgeni 7 2002 Marchenko-Ostrovski mapping for periodic Zakharov-Shabat systems. Zbl 1043.34093Korotyaev, Evgeni 6 2001 Estimates for the Hill operator. I. Zbl 0954.34073Korotyaev, Evgeni 20 2000 Inverse problem for periodic “weighted” operators. Zbl 0970.47021Korotyaev, Evgeni 15 2000 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 310 Authors 75 Korotyaev, Evgeny L. 13 Saburova, Natalia 11 Kutsenko, Anton A. 10 Kappeler, Thomas 10 Khanmamedov, Agil Khanmamed ogly 10 Niikuni, Hiroaki 10 Polyakov, Dmitriĭ Mikhaĭlovich 9 Bondarenko, Natalia P. 9 Isozaki, Hiroshi 8 Kawamoto, Masaki 8 Topalov, Peter J. 7 Iantchenko, Alexei 7 Rabinovich, Vladimir Samuilovich 6 Chelkak, Dmitry 5 Badanin, Andrey 5 Post, Olaf 5 Sadovnichiĭ, Viktor Antonovich 5 Shterenberg, Roman G. 4 Akhtyamov, Azamat Moukhtarovich 4 Cuenin, Jean-Claude 4 Malamud, Mark M. 4 Molnar, Jan-Cornelius 4 Morioka, Hisashi 4 Platonova, Mariya V. 4 Ryadovkin, K. S. 4 Savchuk, Artem M. 4 Shabat, Alekseĭ Borisovich 4 Sultanaev, Yaudat Talgatovich 4 Tadano, Yukihide 4 Weikard, Rudi 3 Ando, Kazunori 3 Dimassi, Mouez 3 Fabila-Carrasco, John Stewart 3 Fazullin, Ziganur Yusupovich 3 Hempel, Rainer 3 Kohlmann, Martin 3 Kozhan, Rostyslav V. 3 Kuchment, Peter A. 3 Liu, Yixuan 3 Lledó, Fernando 3 Makhmudova, M. G. 3 Marzuola, Jeremy Louis 3 Mityagin, Boris Samuilovich 3 Mokeev, Dmitriĭ Borisovich 3 Muminov, Zahriddin Ishkobilovich 3 Neidhardt, Hagen 3 Parnovski, Leonid 3 Parra, Daniel 3 Raikov, Georgi D. 3 Schaad, Beat 3 Shipman, Stephen P. 3 Shkalikov, Andreĭ Andreevich 3 Taira, Kouichi 3 Weinstein, Michael I. 3 Xu, Xiaochuan 3 Yan, Jun 3 Yang, Chuanfu 3 Zworski, Maciej 2 Abbasova, Khatira E. 2 Badakhov, Mukhtar Shamil’evich 2 Badanin, A. V. 2 Badanin, Andrei 2 Bledsoe, Matthew 2 Christiansen, Tanya J. 2 Djakov, Plamen B. 2 Drouot, Alexis 2 Eckhardt, Jonathan 2 Fernandes, Rosário 2 Fujiié, Setsuro 2 Güneysu, Batu 2 Huseynov, Hidayat Mahammad 2 Iwasaki, Satoru 2 Jensen, Arne 2 Kargaev, Pavel Petrovich 2 Keller, Matthias 2 Kostenko, Aleksey S. 2 Kuksin, Sergeĭ B. 2 Lakaev, Shukhrat Saidakhmatovich 2 Laptev, Ari 2 Li, Wei 2 Liu, Zhengrong 2 Lu, Jianfeng 2 Marletta, Marco 2 Møller, Jacob Schach 2 Nabiev, Ibrahim M. 2 Naboko, Serguei N. 2 Nakamura, Shu 2 Nazarov, Sergeĭ Aleksandrovich 2 Nugaeva, I. G. 2 Pankrashkin, Konstantin 2 Pelinovsky, Dmitry Efimovich 2 Petkov, Vesselin M. 2 Popov, Igor’ Yur’evich 2 Puyda, D. V. 2 Ruzhansky, Michael V. 2 Schneider, Guido 2 Shi, Guoliang 2 Tokmagambetov, Niyaz Esenzholovich 2 Veliev, Oktay Alish 2 Watson, Alexander B. ...and 210 more Authors all top 5 Cited in 119 Serials 31 Journal of Mathematical Analysis and Applications 18 Journal of Differential Equations 15 Communications in Mathematical Physics 13 Letters in Mathematical Physics 13 Annales Henri Poincaré 11 Journal of Mathematical Physics 11 Functional Analysis and its Applications 10 Journal of Functional Analysis 10 Russian Journal of Mathematical Physics 8 Integral Equations and Operator Theory 8 St. Petersburg Mathematical Journal 7 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 7 Journal of Mathematical Sciences (New York) 7 Analysis and Mathematical Physics 6 Mathematical Notes 6 Differential Equations 5 Journal d’Analyse Mathématique 5 Reviews in Mathematical Physics 4 Applicable Analysis 4 Theoretical and Mathematical Physics 4 Asymptotic Analysis 4 Communications in Partial Differential Equations 4 Journal of Inverse and Ill-Posed Problems 4 Doklady Mathematics 4 Journal of Spectral Theory 3 Linear and Multilinear Algebra 3 Ukrainian Mathematical Journal 3 Annales de l’Institut Fourier 3 Journal de Mathématiques Pures et Appliquées. 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Real World Applications ...and 19 more Serials all top 5 Cited in 34 Fields 168 Ordinary differential equations (34-XX) 143 Operator theory (47-XX) 132 Partial differential equations (35-XX) 112 Quantum theory (81-XX) 34 Difference and functional equations (39-XX) 25 Statistical mechanics, structure of matter (82-XX) 23 Combinatorics (05-XX) 14 Dynamical systems and ergodic theory (37-XX) 9 Optics, electromagnetic theory (78-XX) 8 Probability theory and stochastic processes (60-XX) 8 Numerical analysis (65-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Special functions (33-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-XX) 5 Mechanics of deformable solids (74-XX) 4 Potential theory (31-XX) 4 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Relativity and gravitational theory (83-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Biology and other natural sciences (92-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year