Образец цитирования:
Г. А. Иосифьян, О. А. Олейник, А. С. Шамаев, “О предельном поведении спектра последовательности операторов,
заданных в различных гильбертовых пространствах”, УМН, 44:3(267) (1989), 157–158; Russian Math. Surveys, 44:3 (1989), 195–196
Andrii Khrabustovskyi, Evgen Khruslov, “Creating and controlling band gaps in periodic media with small resonators”, Z. mat. fiz. anal. geom., 19:2 (2023), 456
Jussi Behrndt, Andrii Khrabustovskyi, “Construction of self‐adjoint differential operators with prescribed spectral properties”, Mathematische Nachrichten, 295:6 (2022), 1063
Andrii Khrabustovskyi, Olaf Post, “A geometric approximation of δ-interactions by Neumann Laplacians”, J. Phys. A: Math. Theor., 54:46 (2021), 465201
Giuseppe Cardone, Andrii Khrabustovskyi, “δ′-interaction as a limit of a thin Neumann waveguide with transversal window”, Journal of Mathematical Analysis and Applications, 473:2 (2019), 1320
Khrabustovskyi A., Post O., “Operator Estimates For the Crushed Ice Problem”, Asymptotic Anal., 110:3-4 (2018), 137–161
Pavel Exner, Andrii Khrabustovskyi, “On the spectrum of narrow Neumann waveguide with periodically distributed δ′ traps”, J. Phys. A: Math. Theor, 48:31 (2015), 315301
Andrii Khrabustovskyi, Evgeni Khruslov, “Gaps in the spectrum of the Neumann Laplacian generated by a system of periodically distributed traps”, Math. Meth. Appl. Sci, 2014, n/a
Andrii Khrabustovskyi, “Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace–Beltrami operator”, Journal of Differential Equations, 2011
Jack K. Hale, Geneviève Raugel, “A reaction-diffusion equation on a thin L-shaped domain”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 125:02 (2011), 283
Koroleva Yu., Persson L.-E., Wall P., “On Friedrichs-Type Inequalities in Domains Rarely Perforated Along the Boundary”, J. Inequal. Appl., 2011, 129
Andrii Khrabustovskyi, “Homogenization of eigenvalue problem for Laplace–Beltrami operator on Riemannian manifold with complicated ‘bubble-like’ microstructure”, Math Meth Appl Sci, 2009, n/a
A. Khrabustovskyi, “On the spectrum of Riemannian manifolds with attached thin handles”, Журн. матем. физ., анал., геом., 5:2 (2009), 145–169
G. A. Chechkin, Yu. O. Koroleva, L.-E. Persson, “On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the
Part of the Boundary with Microinhomogeneous Structure”, J Inequal Appl, 2007 (2007), 1
А. М. Рекало, И. Д. Чуешов, “Глобальный аттрактор контактной параболической задачи в тонкой двухслойной области”, Матем. сб., 195:1 (2004), 103–128; A. M. Rekalo, I. D. Chueshov, “Global attractor of a contact parabolic problem in a thin
two-layer domain”, Sb. Math., 195:1 (2004), 97–119
Н. С. Бахвалов, С. П. Новиков, А. Т. Фоменко, “Ольга Арсеньевна Олейник (к семидесятилетию со дня рождения)”, УМН, 50:4(304) (1995), 177–186; N. S. Bakhvalov, S. P. Novikov, A. T. Fomenko, “Ol'ga Arsen'evna Oleinik (on her seventieth birthday)”, Russian Math. Surveys, 50:4 (1995), 837–848
Г. А. Чечкин, “Усреднение краевых задач с сингулярным возмущением граничных условий”, Матем. сб., 184:6 (1993), 99–150; G. A. Chechkin, “Averaging of boundary value problems with a singular perturbation of the boundary conditions”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 191–222