S. E. Pastukhova, “Homogenization estimates of operator type for fourth order elliptic equations”, Algebra i Analiz, 28:2 (2016), 204–226; St. Petersburg Math. J., 28:2 (2017), 273

Citation in format AMSBIB

\Bibitem{Pas16}

\by S.~E.~Pastukhova

\paper Homogenization estimates of operator type for fourth order elliptic equations

\jour Algebra i Analiz

\yr 2016

\vol 28

\issue 2

\pages 204--226

\mathnet{http://mi.mathnet.ru/aa1491}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3593009}

\elib{https://elibrary.ru/item.asp?id=26414183}

\transl

\jour St. Petersburg Math. J.

\yr 2017

\vol 28

\issue 2

\pages 273--289

\crossref{https://doi.org/10.1090/spmj/1450}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000395756900009}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85013393524}

This publication is cited in the following 34 articles:

Zhiwei Huang, Xiaomiao Zeng, Chen Wang, Chongren Liu, “Two-scale convergence analysis and numerical simulation for periodic Kirchhoff plates”, Heliyon, 2025, e42000
Salomón Alarcón, Jorge Faya, Carolina Rey, “Concentration on the boundary and sign-changing solutions for a slightly subcritical biharmonic problem”, Journal of Differential Equations, 437 (2025), 113285
S. E. Pastukhova, “On Operator Estimates of the Homogenization of Higher-Order Elliptic Systems”, Math. Notes, 114:3 (2023), 322–338
T. A. Suslina, “Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients”, Russian Math. Surveys, 78:6 (2023), 1023–1154
A. A. Raev, V. A. Slousch, T. A. Suslina, “Usrednenie odnomernogo periodicheskogo operatora chetvertogo poryadka s singulyarnym potentsialom”, Matematicheskie voprosy teorii rasprostraneniya voln. 53, Zap. nauchn. sem. POMI, 521, POMI, SPb., 2023, 212–239
A. A. Miloslova, T. A. Suslina, “Homogenization of the Higher-Order Parabolic Equations with Periodic Coefficients”, J Math Sci, 277:6 (2023), 959
V. A. Sloushch, T. A. Suslina, “Operator estimates for homogenization of higher-order elliptic operators with periodic coefficients”, St. Petersburg Math. J., 35:2 (2024), 327–375
S. E. Pastukhova, “Improved resolvent approximations in homogenization of second order operators with periodic coefficients”, Funct. Anal. Appl., 56:4 (2022), 310–319
S. E. Pastukhova, “Improved Approximations of Resolvents in Homogenization of Higher Order Operators. The Selfadjoint Case”, J Math Sci, 262:3 (2022), 312
S. E. Pastukhova, “Improved $L^2$-approximation of resolvents in homogenization of fourth order operators”, St. Petersburg Math. J., 34:4 (2023), 611–634
S. E. Pastukhova, “Resolvent Approximations in L2-Norm for Elliptic Operators Acting in a Perforated Space”, J Math Sci, 265:6 (2022), 1008
S. E. Pastukhova, “Approximation of resolvents in homogenization of fourth-order elliptic operators”, Sb. Math., 212:1 (2021), 111–134
A. A. Miloslova, T. A. Suslina, “Usrednenie parabolicheskikh uravnenii vysokogo poryadka s periodicheskimi koeffitsientami”, Differentsialnye uravneniya s chastnymi proizvodnymi, SMFN, 67, no. 1, Rossiiskii universitet druzhby narodov, M., 2021, 130–191
Ya. Xu, W. Niu, “Convergence rates in almost-periodic homogenization of higher-order elliptic systems”, Asymptotic Anal., 123:1-2 (2021), 95–137
S. E. Pastukhova, “Improved Approximations of Resolvent in Homogenization of Higher Order Operators”, J Math Sci, 259:2 (2021), 230
T. A. Suslina, “Homogenization of the Higher-Order Hyperbolic Equations with Periodic Coefficients”, Lobachevskii J Math, 42:14 (2021), 3518
S. E. Pastukhova, “Improved Approximations of Resolvents in Homogenization of Fourth Order Operators”, J Math Sci, 255:4 (2021), 488
V. A. Sloushch, T. A. Suslina, “Homogenization of the Fourth-Order Elliptic Operator with Periodic Coefficients with Correctors Taken into Account”, Funct. Anal. Appl., 54:3 (2020), 224–228
S. E. Pastukhova, “$L^2$-approksimatsii rezolventy ellipticheskogo operatora v perforirovannom prostranstve”, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 66, no. 2, Rossiiskii universitet druzhby narodov, M., 2020, 314–334
Z. W. Huang, Y. F. Xing, Y. H. Gao, “A two-scale asymptotic expansion method for periodic composite Euler beams”, Compos. Struct., 241 (2020), 112033