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‘Far interaction’ of small spectral perturbations of the Neumann boundary conditions for an elliptic system of differential equations in a three-dimensional domain
"Дальнодействие" концентрированных масс в двумерных задачах Неймана и Дирихле
Sergei Aleksandrovich Nazarov Известия Российской академии наук. Серия математическая 87(1) 65 (2023) https://doi.org/10.4213/im9262
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions
Michael J. Nieves and Alexander B. Movchan Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380(2237) (2022) https://doi.org/10.1098/rsta.2021.0392
Mixed Boundary Value Problems in Singularly Perturbed Two-Dimensional Domains with the Steklov Spectral Condition
Собственные колебания густых каскадных соединений со "сверхтяжелыми" концентрированными массами
Taras Anatol'evich Mel'nik and Gregory Aleksandrovich Chechkin Известия Российской академии наук. Серия математическая 79(3) 41 (2015) https://doi.org/10.4213/im8238
Spectrum of a diffusion operator with coefficient changing sign over a small inclusion
Homogenization of a model spectral problem for the Laplace operator in a domain with many closely located “ heavy” and “intermediate heavy” concentrated masses
Asymptotic Expansions of Eigenelements of the Laplace Operator in a Domain with Many “Light” Concentrated Masses Closely Located on the Boundary. Multi-Dimensional Case
Асимптотические разложения собственных значений и собственных функций эллиптического оператора в области с большим количеством близко расположенных на границе “легких” концентрированных масс. Двумерный случай
Gregory Aleksandrovich Chechkin and Григорий Александрович Чечкин Известия Российской академии наук. Серия математическая 69(4) 161 (2005) https://doi.org/10.4213/im652
Uniform Estimates of Remainders in Asymptotic Expansions of Solutions to the Problem on Eigenoscillations of a Piezoelectric Plate
Асимптотика решений краевых задач для уравнения с быстроосциллирующими коэффициентами в области с малой полостью
Sergei Aleksandrovich Nazarov, Сергей Александрович Назаров, Андрей Семенович Слуцкий and Andrey Semenovich Slutskij Математический сборник 189(9) 107 (1998) https://doi.org/10.4213/sm353
Asymptotic behaviour of solutions of boundary-value problems for equations with rapidly oscillating coefficients in a domain with a small cavity