S. A. Nazarov, “Asymptotic expansions of eigenvalues of the Steklov problem in singularly perturbed domains”, Algebra i Analiz, 26:2 (2014), 119–184; St. Petersburg Math. J., 26:2 (2015), 273

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Algebra i Analiz, 2014, Volume 26, Issue 2, Pages 119–184 (Mi aa1380)

This article is cited in 12 scientific papers (total in 12 papers)

Research Papers

Asymptotic expansions of eigenvalues of the Steklov problem in singularly perturbed domains

S. A. Nazarov^ab

^a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
^b St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia

Full-text PDF (511 kB) Citations (12)

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Received: 01.12.2012

English version:
St. Petersburg Mathematical Journal, 2015, Volume 26, Issue 2, Pages 273–318
DOI: https://doi.org/10.1090/S1061-0022-2015-01339-3

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: S. A. Nazarov, “Asymptotic expansions of eigenvalues of the Steklov problem in singularly perturbed domains”, Algebra i Analiz, 26:2 (2014), 119–184; St. Petersburg Math. J., 26:2 (2015), 273–318

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1380

https://www.mathnet.ru/eng/aa/v26/i2/p119

This publication is cited in the following 12 articles:

S. A. Nazarov, “Plastina Kirkhgofa s usloviyami Vinklera–Steklova na malykh uchastkakh kromki”, Algebra i analiz, 36:3 (2024), 165–212
S. A. Nazarov, “‘Far interaction’ of small spectral perturbations of the Neumann boundary conditions for an elliptic system of differential equations in a three-dimensional domain”, Sb. Math., 214:1 (2023), 58–107
S. A. Nazarov, “Asimptotika sobstvennykh chisel zadachi teorii uprugosti so spektralnymi usloviyami Vinklera–Steklova na malykh uchastkakh granitsy”, Kraevye zadachi matematicheskoi fiziki i smezhnye voprosy teorii funktsii. 50, Zap. nauchn. sem. POMI, 519, POMI, SPb., 2022, 152–187
Girouard A., Henrot A., Lagace J., “From Steklov to Neumann Via Homogenisation”, Arch. Ration. Mech. Anal., 239:2 (2021), 981–1023
Bucur D., Henrot A., Michetti M., “Asymptotic Behaviour of the Steklov Spectrum on Dumbbell Domains”, Commun. Partial Differ. Equ., 46:2 (2021), 362–393
D. B. Davletov, O. B. Davletov, R. R. Davletova, A. A. Ershov, “Skhodimost sobstvennykh elementov kraevoi zadachi tipa Steklova dlya operatora Lame”, Tr. IMM UrO RAN, 27, no. 1, 2021, 37–47
de Cristoforis M.L., “Multiple Eigenvalues For the Steklov Problem in a Domain With a Small Hole. a Functional Analytic Approach”, Asymptotic Anal., 121:3-4 (2021), 335–365
D. Bucur, A. Giacomini, P. Trebeschi, “L-infinity bounds of steklov eigenfunctions and spectrum stability under domain variation”, J. Differ. Equ., 269:12 (2020), 11461–11491
H. Ammaria, K. Imeri, N. Nigam, “Optimization of steklov-neumann eigenvalues”, J. Comput. Phys., 406 (2020), 109211
V. Chiadò Piat, S. A. Nazarov, “Mixed Boundary Value Problems in Singularly Perturbed Two-Dimensional Domains with the Steklov Spectral Condition”, J Math Sci, 251:5 (2020), 655
D. B. Davletov, D. V. Kozhevnikov, “The problem of Steklov type in a half-cylinder with a small cavity”, Ufa Math. J., 8:4 (2016), 62–87
Gryshchuk S., de Cristoforis M.L., “Simple Eigenvalues For the Steklov Problem in a Domain With a Small Hole. a Functional Analytic Approach”, Math. Meth. Appl. Sci., 37:12 (2014), 1755–1771

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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