Badanin, Andrey; Korotyaev, Evgeny L. Third-order operators with three-point conditions associated with Boussinesq’s equation. (English) Zbl 07305508 Appl. Anal. 100, No. 3, 527-560 (2021). MSC: 47E05 34L20 34L40 PDFBibTeX XMLCite \textit{A. Badanin} and \textit{E. L. Korotyaev}, Appl. Anal. 100, No. 3, 527--560 (2021; Zbl 07305508) Full Text: DOI arXiv
Badanin, Andrey; Korotyaev, Evgeny L. Hill’s operators with the potentials analytically dependent on energy. (English) Zbl 1520.47084 J. Differ. Equations 271, 638-664 (2021). MSC: 47E05 34L20 34L40 PDFBibTeX XMLCite \textit{A. Badanin} and \textit{E. L. Korotyaev}, J. Differ. Equations 271, 638--664 (2021; Zbl 1520.47084) Full Text: DOI arXiv
Badanin, Andrey; Korotyaev, Evgeny L. Asymptotics of determinants of 4-th order operators at zero. (English) Zbl 07198935 Math. Nachr. 293, No. 2, 210-225 (2020). MSC: 47-XX 34L25 47E05 PDFBibTeX XMLCite \textit{A. Badanin} and \textit{E. L. Korotyaev}, Math. Nachr. 293, No. 2, 210--225 (2020; Zbl 07198935) Full Text: DOI arXiv
Badanin, Andrey; Korotyaev, Evgeny Trace formulas for fourth order operators on unit interval. II. (English) Zbl 1326.47046 Dyn. Partial Differ. Equ. 12, No. 3, 217-239 (2015). MSC: 47E05 34L20 34B05 34L05 46E35 PDFBibTeX XMLCite \textit{A. Badanin} and \textit{E. Korotyaev}, Dyn. Partial Differ. Equ. 12, No. 3, 217--239 (2015; Zbl 1326.47046) Full Text: DOI arXiv
Badanin, Andrey; Korotyaev, Evgeny Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators. (English) Zbl 1318.34115 Inverse Probl. 31, No. 5, Article ID 055004, 37 p. (2015). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34L20 47E05 34A55 PDFBibTeX XMLCite \textit{A. Badanin} and \textit{E. Korotyaev}, Inverse Probl. 31, No. 5, Article ID 055004, 37 p. (2015; Zbl 1318.34115) Full Text: DOI arXiv
Badanin, Andrey; Korotyaev, Evgeny Sharp eigenvalue asymptotics for fourth order operators on the circle. (English) Zbl 1325.34100 J. Math. Anal. Appl. 417, No. 2, 804-818 (2014). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L20 34E10 47E05 PDFBibTeX XMLCite \textit{A. Badanin} and \textit{E. Korotyaev}, J. Math. Anal. Appl. 417, No. 2, 804--818 (2014; Zbl 1325.34100) Full Text: DOI arXiv
Badanin, A. V.; Korotyaev, E. L. A third order operator with periodic coefficients on the real line. (English. Russian original) Zbl 1310.34116 St. Petersbg. Math. J. 25, No. 5, 713-734 (2014); translation from Algebra Anal. 25, No. 5, 1-31 (2013). MSC: 34L40 34L05 PDFBibTeX XMLCite \textit{A. V. Badanin} and \textit{E. L. Korotyaev}, St. Petersbg. Math. J. 25, No. 5, 713--734 (2014; Zbl 1310.34116); translation from Algebra Anal. 25, No. 5, 1--31 (2013) Full Text: DOI arXiv
Korotyaev, Evgeny L. Hamiltonian and small action variables for dNLS on the circle. (English) Zbl 1316.35263 Int. Math. Res. Not. 2013, No. 10, 2203-2239 (2013). MSC: 35Q55 35B40 30C20 PDFBibTeX XMLCite \textit{E. L. Korotyaev}, Int. Math. Res. Not. 2013, No. 10, 2203--2239 (2013; Zbl 1316.35263) Full Text: DOI arXiv
Badanin, Andrey; Korotyaev, Evgeny Spectral asymptotics for the third order operator with periodic coefficients. (English) Zbl 1273.47074 J. Differ. Equations 253, No. 11, 3113-3146 (2012). Reviewer: Meirong Zhang (Beijing) MSC: 47E05 47B25 34L20 34L40 PDFBibTeX XMLCite \textit{A. Badanin} and \textit{E. Korotyaev}, J. Differ. Equations 253, No. 11, 3113--3146 (2012; Zbl 1273.47074) Full Text: DOI arXiv
Badanin, A. V.; Korotyaev, E. L. Spectral estimates for a periodic fourth-order operator. (English. Russian original) Zbl 1230.34071 St. Petersbg. Math. J. 22, No. 5, 703-736 (2011); translation from Algebra Anal. 22, No. 5, 1-48 (2005). MSC: 34L05 34L15 34L40 PDFBibTeX XMLCite \textit{A. V. Badanin} and \textit{E. L. Korotyaev}, St. Petersbg. Math. J. 22, No. 5, 703--736 (2011; Zbl 1230.34071); translation from Algebra Anal. 22, No. 5, 1--48 (2005) Full Text: DOI arXiv
Korotyaev, Evgeny Spectral estimates for matrix-valued periodic Dirac operators. (English) Zbl 1159.35393 Asymptotic Anal. 59, No. 3-4, 195-225 (2008). MSC: 35P15 35Q40 81Q10 58J50 PDFBibTeX XMLCite \textit{E. Korotyaev}, Asymptotic Anal. 59, No. 3--4, 195--225 (2008; Zbl 1159.35393) Full Text: arXiv
Klein, Markus; Korotyaev, Evgeny; Pokrovski, Alexis Spectral asymptotics of the harmonic oscillator perturbed by bounded potentials. (English) Zbl 1105.81034 Ann. Henri Poincaré 6, No. 4, 747-789 (2005). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 81Q10 81Q05 34L20 PDFBibTeX XMLCite \textit{M. Klein} et al., Ann. Henri Poincaré 6, No. 4, 747--789 (2005; Zbl 1105.81034) Full Text: DOI arXiv
Korotyaev, E.; Pushnitski, A. A trace formula and high-energy spectral asymptotics for the perturbed Landau Hamiltonian. (English) Zbl 1069.35048 J. Funct. Anal. 217, No. 1, 221-248 (2004). Reviewer: Hideo Yamagata (Osaka) MSC: 35P20 81Q10 PDFBibTeX XMLCite \textit{E. Korotyaev} and \textit{A. Pushnitski}, J. Funct. Anal. 217, No. 1, 221--248 (2004; Zbl 1069.35048) Full Text: DOI arXiv