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Algebra i Analiz, 2004, Volume 16, Issue 1, Pages 269–292 (Mi aa596)  

This article is cited in 14 scientific papers (total in 14 papers)

Research Papers

On averaging of periodic elliptic operators in a strip domain

T. A. Suslina

St. Petersburg State University, Faculty of Physics
References:
Received: 01.09.2003
English version:
St. Petersburg Mathematical Journal, 2005, Volume 16, Issue 1, Pages 237–257
DOI: https://doi.org/10.1090/S1061-0022-04-00849-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. A. Suslina, “On averaging of periodic elliptic operators in a strip domain”, Algebra i Analiz, 16:1 (2004), 269–292; St. Petersburg Math. J., 16:1 (2005), 237–257
Citation in format AMSBIB
\Bibitem{Sus04}
\by T.~A.~Suslina
\paper On averaging of periodic elliptic operators in a~strip domain
\jour Algebra i Analiz
\yr 2004
\vol 16
\issue 1
\pages 269--292
\mathnet{http://mi.mathnet.ru/aa596}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2068354}
\zmath{https://zbmath.org/?q=an:1072.35033}
\transl
\jour St. Petersburg Math. J.
\yr 2005
\vol 16
\issue 1
\pages 237--257
\crossref{https://doi.org/10.1090/S1061-0022-04-00849-0}
Linking options:
  • https://www.mathnet.ru/eng/aa596
  • https://www.mathnet.ru/eng/aa/v16/i1/p269
  • This publication is cited in the following 14 articles:
    1. Benjamin Stamm, Lambert Theisen, “A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains”, SIAM J. Numer. Anal., 60:5 (2022), 2508  crossref
    2. Dong R. Li D. Wang L., “Directional Homogenization of Elliptic Equations in Non-Divergence Form”, J. Differ. Equ., 268:11 (2020), 6611–6645  crossref  mathscinet  isi
    3. Xu Ya., Niu W., “Periodic Homogenization of Elliptic Systems With Stratified Structure”, Discret. Contin. Dyn. Syst., 39:4 (2019), 2295–2323  crossref  mathscinet  zmath  isi  scopus
    4. Dong R., Li D., Wang L., “Regularity of Elliptic Systems in Divergence Form With Directional Homogenization”, Discret. Contin. Dyn. Syst., 38:1 (2018), 75–90  crossref  mathscinet  zmath  isi  scopus
    5. Borisov I D., “On Spectral Gaps of a Laplacian in a Strip With a Bounded Periodic Perturbation”, Ufa Math. J., 10:2 (2018), 14–30  mathnet  crossref  mathscinet  isi  scopus
    6. Senik N.N., “Homogenization For Non-Self-Adjoint Periodic Elliptic Operators on An Infinite Cylinder”, SIAM J. Math. Anal., 49:2 (2017), 874–898  crossref  mathscinet  zmath  isi  scopus
    7. D. I. Borisov, “O lakunakh v nizhnei chasti spektra periodicheskogo magnitnogo operatora v polose”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 63, no. 3, Rossiiskii universitet druzhby narodov, M., 2017, 373–391  mathnet  crossref
    8. N. N. Senik, “On Homogenization for Non-Self-Adjoint Periodic Elliptic Operators on an Infinite Cylinder”, Funct. Anal. Appl., 50:1 (2016), 71–75  mathnet  crossref  crossref  mathscinet  isi  elib
    9. N. N. Senik, “Homogenization for a periodic elliptic operator in a strip with various boundary conditions”, St. Petersburg Math. J., 25:4 (2014), 647–697  mathnet  crossref  mathscinet  zmath  isi  elib
    10. Van Wey A.S., Cookson A.L., Soboleva T.K., Roy N.C., McNabb W.C., Bridier A., Briandet R., Shorten P.R., “Anisotropic Nutrient Transport in Three-Dimensional Single Species Bacterial Biofilms”, Biotechnol. Bioeng., 109:5 (2012), 1280–1292  crossref  isi  scopus
    11. Bunoiu R., Cardone G., Suslina T., “Spectral approach to homogenization of an elliptic operator periodic in some directions”, Math Methods Appl Sci, 34:9 (2011), 1075–1096  crossref  mathscinet  zmath  isi  elib  scopus
    12. Birman M.S., Suslina T.A., “Homogenization of Periodic Differential Operators as a Spectral Threshold Effect”, New Trends in Mathematical Physics, 2009, 667–683  crossref  zmath  isi
    13. D. I. Borisov, “Asymptotics for the solutions of elliptic systems with rapidly oscillating coefficients”, St. Petersburg Math. J., 20:2 (2009), 175–191  mathnet  crossref  mathscinet  zmath  isi
    14. M. Sh. Birman, T. A. Suslina, “Periodic differential operators of second order. Threshold properties and averagings”, St. Petersburg Math. J., 15:5 (2004), 639–714  mathnet  crossref  mathscinet  zmath
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