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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 16
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Research Article

Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: sharpness of the results

M. A. DorodnyiLeonhard Euler International Mathematical Institute, St. Petersburg State University, St. Petersburg, RussiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-1436-6463View further author information
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Pages 5582-5614 | Received 13 May 2020, Accepted 30 Jun 2020, Published online: 22 Mar 2021

Citations (8)

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Read on this site (1)

M. A. Dorodnyi. (2024) High-frequency homogenization of nonstationary periodic equations. Applicable Analysis 103:3, pages 533-561.
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Articles from other publishers (7)

M. Dorodnyi. (2023) High-Energy Homogenization of a Multidimensional Nonstationary Schrödinger Equation. Russian Journal of Mathematical Physics 30:4, pages 480-500.
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M. A. Dorodnyi & T. A. Suslina. (2024) Homogenization of Hyperbolic Equations: Operator Estimates with Correctors Taken into Account. Functional Analysis and Its Applications 57:4, pages 364-370.
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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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Mark Aleksandrovich Dorodnyi & Tatiana Aleksandrovna Suslina. (2023) Усреднение гиперболических уравнений: операторные оценки при учете корректоровHomogenization of hyperbolic equations: operator estimates with correctors taken into account. Функциональный анализ и его приложения Funktsional'nyi Analiz i ego Prilozheniya 57:4, pages 123-129.
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Tatiana Aleksandrovna Suslina. (2022) Усреднение уравнений типа Шрeдингера: операторные оценки при учете корректоровHomogenization of the Schrödinger-type equations: operator estimates with correctors. Функциональный анализ и его приложения Funktsional'nyi Analiz i ego Prilozheniya 56:3, pages 93-99.
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T. A. Suslina. (2022) Homogenization of the Higher-Order Hyperbolic Equations with Periodic Coefficients. Lobachevskii Journal of Mathematics 42:14, pages 3518-3542.
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