Gallone, M.; Pasquali, S. Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction. (English) Zbl 1473.37092 Nonlinearity 34, No. 7, 4983-5044 (2021). MSC: 37K55 37K60 70H08 70K45 PDF BibTeX XML Cite \textit{M. Gallone} and \textit{S. Pasquali}, Nonlinearity 34, No. 7, 4983--5044 (2021; Zbl 1473.37092) Full Text: DOI arXiv OpenURL
Djakov, P. B.; Mityagin, B. S. Spectral triangles of non-selfadjoint Hill and Dirac operators. (English. Russian original) Zbl 07281941 Russ. Math. Surv. 75, No. 4, 587-626 (2020); translation from Usp. Mat. Nauk 75, No. 4, 3-44 (2020). MSC: 47E05 34L40 34L10 PDF BibTeX XML Cite \textit{P. B. Djakov} and \textit{B. S. Mityagin}, Russ. Math. Surv. 75, No. 4, 587--626 (2020; Zbl 07281941); translation from Usp. Mat. Nauk 75, No. 4, 3--44 (2020) Full Text: DOI OpenURL
Polyakov, D. M. Estimates of spectral gap lengths for Schrödinger and Dirac operators. (English. Russian original) Zbl 07208669 Differ. Equ. 56, No. 5, 585-594 (2020); translation from Differ. Uravn. 56, No. 5, 595-604 (2020). MSC: 47-XX 34-XX PDF BibTeX XML Cite \textit{D. M. Polyakov}, Differ. Equ. 56, No. 5, 585--594 (2020; Zbl 07208669); translation from Differ. Uravn. 56, No. 5, 595--604 (2020) Full Text: DOI OpenURL
Arslan, İlker Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property. (English) Zbl 1361.34097 J. Math. Anal. Appl. 447, No. 1, 84-108 (2017). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 34L40 34L10 47E05 PDF BibTeX XML Cite \textit{İ. Arslan}, J. Math. Anal. Appl. 447, No. 1, 84--108 (2017; Zbl 1361.34097) Full Text: DOI arXiv Link OpenURL
Korotyaev, Evgeny L.; Kargaev, Pavel Estimates for periodic Zakharov-Shabat operators. (English) Zbl 1204.34119 J. Differ. Equations 249, No. 1, 76-93 (2010). Reviewer: Petru A. Cojuhari (Kraków) MSC: 34L40 34B24 47E05 34L05 PDF BibTeX XML Cite \textit{E. L. Korotyaev} and \textit{P. Kargaev}, J. Differ. Equations 249, No. 1, 76--93 (2010; Zbl 1204.34119) Full Text: DOI arXiv OpenURL
Kappeler, T.; Serier, F.; Topalov, P. On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators. (English) Zbl 1191.47060 J. Funct. Anal. 256, No. 7, 2069-2112 (2009). Reviewer: Lyonell Boulton (Edinburgh) MSC: 47F05 35Q55 81Q10 PDF BibTeX XML Cite \textit{T. Kappeler} et al., J. Funct. Anal. 256, No. 7, 2069--2112 (2009; Zbl 1191.47060) Full Text: DOI OpenURL
Djakov, Plamen; Mityagin, Boris Instability zones of a periodic 1D Dirac operator and smoothness of its potential. (English) Zbl 1083.34064 Commun. Math. Phys. 259, No. 1, 139-183 (2005). Reviewer: Agostino Prástaro (Roma) MSC: 34L40 47E05 81Q05 PDF BibTeX XML Cite \textit{P. Djakov} and \textit{B. Mityagin}, Commun. Math. Phys. 259, No. 1, 139--183 (2005; Zbl 1083.34064) Full Text: DOI OpenURL
Djakov, Plamen; Mityagin, Boris Multiplicities of the eigenvalues of periodic Dirac operators. (English) Zbl 1069.34128 J. Differ. Equations 210, No. 1, 178-216 (2005). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L40 47E05 PDF BibTeX XML Cite \textit{P. Djakov} and \textit{B. Mityagin}, J. Differ. Equations 210, No. 1, 178--216 (2005; Zbl 1069.34128) Full Text: DOI OpenURL
Djakov, Plamen; Mityagin, Boris Spectral gaps of the periodic Schrödinger operator when its potential is an entire function. (English) Zbl 1047.34100 Adv. Appl. Math. 31, No. 3, 562-596 (2003). Reviewer: Alan L. Andrew (Bundoora) MSC: 34L40 34L20 47E05 PDF BibTeX XML Cite \textit{P. Djakov} and \textit{B. Mityagin}, Adv. Appl. Math. 31, No. 3, 562--596 (2003; Zbl 1047.34100) Full Text: DOI OpenURL
Grébert, Benoît; Kappeler, Thomas KAM theorem for the nonlinear Schrödinger equation. (English) Zbl 0977.35133 J. Nonlinear Math. Phys. 8, Suppl., 133-138 (2001). MSC: 35Q55 37K55 PDF BibTeX XML Cite \textit{B. Grébert} and \textit{T. Kappeler}, J. Nonlinear Math. Phys. 8, 133--138 (2001; Zbl 0977.35133) Full Text: DOI Link OpenURL