Cox, Graham; Curran, Mitchell; Latushkin, Yuri; Marangell, Robert Hamiltonian spectral flows, the Maslov index, and the stability of standing waves in the nonlinear Schrödinger equation. (English) Zbl 1526.34064 SIAM J. Math. Anal. 55, No. 5, 4998-5050 (2023). Reviewer: Rakib Efendiev (Baku) MSC: 34L05 34L15 34L40 37K25 34C37 47E05 53D12 PDFBibTeX XMLCite \textit{G. Cox} et al., SIAM J. Math. Anal. 55, No. 5, 4998--5050 (2023; Zbl 1526.34064) Full Text: DOI arXiv
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim A dynamical approach to semilinear elliptic equations. (English) Zbl 1459.35174 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 2, 421-450 (2021). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J61 35A24 34D09 35J25 PDFBibTeX XMLCite \textit{M. Beck} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 2, 421--450 (2021; Zbl 1459.35174) Full Text: DOI arXiv
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim Exponential dichotomies for elliptic PDE on radial domains. (English) Zbl 1459.35175 Dörfler, Willy (ed.) et al., Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23–27, 2018. Cham: Birkhäuser. Trends Math., 49-68 (2020). MSC: 35J61 PDFBibTeX XMLCite \textit{M. Beck} et al., in: Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23--27, 2018. Cham: Birkhäuser. 49--68 (2020; Zbl 1459.35175) Full Text: DOI arXiv
Latushkin, Yuri; Sukhtaiev, Selim An index theorem for Schrödinger operators on metric graphs. (English) Zbl 1457.58014 Abdul-Rahman, Houssam (ed.) et al., Analytic trends in mathematical physics. Arizona school of analysis and mathematical physics, University of Arizona, Tucson, AZ, USA, March 5–9, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 741, 105-119 (2020). MSC: 58J30 35R02 PDFBibTeX XMLCite \textit{Y. Latushkin} and \textit{S. Sukhtaiev}, Contemp. Math. 741, 105--119 (2020; Zbl 1457.58014) Full Text: DOI arXiv
Dullin, Holger; Latushkin, Yuri; Marangell, Robert; Vasudevan, Shibi; Worthington, Joachim Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations. (English) Zbl 1447.35255 Commun. Pure Appl. Anal. 19, No. 4, 2051-2079 (2020). Reviewer: Y. Charles Li (Columbia) MSC: 35Q31 76E05 47A10 40A15 35Q35 35B35 35P99 PDFBibTeX XMLCite \textit{H. Dullin} et al., Commun. Pure Appl. Anal. 19, No. 4, 2051--2079 (2020; Zbl 1447.35255) Full Text: DOI arXiv
Howard, P.; Latushkin, Y.; Sukhtayev, A. The Maslov and Morse indices for system Schrödinger operators on \(\mathbb{R}\). (English) Zbl 1408.53106 Indiana Univ. Math. J. 67, No. 5, 1765-1815 (2018). MSC: 53D12 34L40 PDFBibTeX XMLCite \textit{P. Howard} et al., Indiana Univ. Math. J. 67, No. 5, 1765--1815 (2018; Zbl 1408.53106) Full Text: DOI
Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtaiev, Selim Counting spectrum via the Maslov index for one dimensional \(\theta\)-periodic Schrödinger operators. (English) Zbl 1353.53080 Proc. Am. Math. Soc. 145, No. 1, 363-377 (2017). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D12 34L40 37J25 70H12 PDFBibTeX XMLCite \textit{C. K. R. T. Jones} et al., Proc. Am. Math. Soc. 145, No. 1, 363--377 (2017; Zbl 1353.53080) Full Text: DOI arXiv
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen; de Souza, Aparecido J. Stability of gasless combustion fronts in one-dimensional solids. (English) Zbl 1248.35209 Arch. Ration. Mech. Anal. 198, No. 3, 981-1030 (2010). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 35Q79 35B35 80A25 PDFBibTeX XMLCite \textit{A. Ghazaryan} et al., Arch. Ration. Mech. Anal. 198, No. 3, 981--1030 (2010; Zbl 1248.35209) Full Text: DOI