Citations (23)
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Yu. M. Meshkova. (2020) On homogenization of the first initial-boundary value problem for periodic hyperbolic systems. Applicable Analysis 99:9, pages 1528-1563.
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T. A. Suslina. (2018) Homogenization of the Neumann problem for higher order elliptic equations with periodic coefficients. Complex Variables and Elliptic Equations 63:7-8, pages 1185-1215.
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Wei Wang. (2023) Uniform estimates of resolvents in homogenization theory of elliptic systems. Journal of Differential Equations 370, pages 1-65.
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Yao Xu. (2023) Convergence rates in homogenization of parabolic systems with locally periodic coefficients. Journal of Differential Equations 367, pages 1-39.
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Kirill Cherednichenko, Igor Velčić & Josip Žubrinić. (2023) Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast. Calculus of Variations and Partial Differential Equations 62:5.
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A. Piatnitski, V. Sloushch, T. Suslina & E. Zhizhina. (2023) On operator estimates in homogenization of nonlocal operators of convolution type. Journal of Differential Equations 352, pages 153-188.
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S. E. Pastukhova. (2023) L2-estimates of error in homogenization of parabolic equations with correctors taken into account. Contemporary Mathematics. Fundamental Directions 69:1, pages 134-151.
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Tatiana Aleksandrovna Suslina. (2023) Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients. Russian Mathematical Surveys 78:6, pages 1023-1154.
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Tatiana Aleksandrovna Suslina. (2023) Теоретико-операторный подход к усреднению уравнений типа Шрeдингера с периодическими коэффициентамиOperator-theoretic approach to averaging Schrödinger-type equations with periodic coefficients. Успехи математических наук Uspekhi Matematicheskikh Nauk 78:6(474), pages 47-178.
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Kirill Cherednichenko & Igor Velčić. (2022) Sharp operator‐norm asymptotics for thin elastic plates with rapidly oscillating periodic properties. Journal of the London Mathematical Society 105:3, pages 1634-1680.
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Kirill Cherednichenko & Serena D’Onofrio. (2022) Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures. Calculus of Variations and Partial Differential Equations 61:2.
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Yulia Meshkova. (2020) Note on quantitative homogenization results for parabolic systems in $${\mathbb {R}}^d$$. Journal of Evolution Equations 21:1, pages 763-769.
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Nikita N Senik. (2020) Об усреднении локально периодических эллиптических и параболических операторовOn homogenization for locally periodic elliptic and parabolic operators. Функциональный анализ и его приложения Funktsional'nyi Analiz i ego Prilozheniya 54:1, pages 87-92.
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N. N. Senik. (2020) On Homogenization of Locally Periodic Elliptic and Parabolic Operators. Functional Analysis and Its Applications 54:1, pages 68-72.
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Weisheng Niu & Yao Xu. (2019) A refined convergence result in homogenization of second order parabolic systems. Journal of Differential Equations 266:12, pages 8294-8319.
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Arthur. J. Vromans, Fons van de Ven & Adrian Muntean. (2019) Homogenization of a pseudo-parabolic system via a spatial-temporal decoupling: Upscaling and corrector estimates for perforated domains. Mathematics in Engineering 1:3, pages 548-582.
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Kirill Cherednichenko & Marcus Waurick. (2018) Resolvent estimates in homogenisation of periodic problems of fractional elasticity. Journal of Differential Equations 264:6, pages 3811-3835.
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Yu. M. Meshkova & T. A. Suslina. (2017) Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients. Functional Analysis and Its Applications 51:3, pages 230-235.
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Jun Geng & Zhongwei Shen. (2017) Convergence rates in parabolic homogenization with time-dependent periodic coefficients. Journal of Functional Analysis 272:5, pages 2092-2113.
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Yulia Mikhailovna Meshkova & Tatiana Aleksandrovna Suslina. (2017) Усреднение задачи Дирихле для эллиптических и параболических систем с периодическими коэффициентамиHomogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients. Функциональный анализ и его приложения Funktsional'nyi Analiz i ego Prilozheniya 51:3, pages 87-93.
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