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
\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:
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Dong R. Li D. Wang L., “Directional Homogenization of Elliptic Equations in Non-Divergence Form”, J. Differ. Equ., 268:11 (2020), 6611–6645
Xu Ya., Niu W., “Periodic Homogenization of Elliptic Systems With Stratified Structure”, Discret. Contin. Dyn. Syst., 39:4 (2019), 2295–2323
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
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
Senik N.N., “Homogenization For Non-Self-Adjoint Periodic Elliptic Operators on An Infinite Cylinder”, SIAM J. Math. Anal., 49:2 (2017), 874–898
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
N. N. Senik, “On Homogenization for Non-Self-Adjoint Periodic Elliptic Operators on an Infinite Cylinder”, Funct. Anal. Appl., 50:1 (2016), 71–75
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
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
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
Birman M.S., Suslina T.A., “Homogenization of Periodic Differential Operators as a Spectral Threshold Effect”, New Trends in Mathematical Physics, 2009, 667–683
D. I. Borisov, “Asymptotics for the solutions of elliptic systems with rapidly oscillating coefficients”, St. Petersburg Math. J., 20:2 (2009), 175–191
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