Some estimates from homogenization theory

From MaRDI portal
Publication:1005460

DOI10.1134/S1064562406010261zbMath1155.35311OpenAlexW1984991290MaRDI QIDQ1005460

Vasilii V. Jikov

Publication date: 9 March 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406010261



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (33)

Error estimates of homogenization in the Neumann boundary problem for an elliptic equation with multiscale coefficientsWaveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptoticsOperator estimates in reiterated and locally periodic homogenizationInterior Hölder and gradient estimates for the homogenization of the linear elliptic equationsThe Dirichlet problem for elliptic equations with multiscale coefficients. Operator estimates for homogenizationApproximations of the resolvent for a non-self-adjoint diffusion operator with rapidly oscillating coefficientsOn resolvent approximations of elliptic differential operators with periodic coefficientsOperator estimates in homogenization of elliptic systems of equationsRate of Convergence of General Phase Field Equations in Strongly Heterogeneous Media Toward Their Homogenized Limit\(L^2\)-estimates for homogenization of elliptic operatorsSecond-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating PotentialsComputational investigation of porous media phase field formulations: microscopic, effective macroscopic, and Langevin equationsOn a waveguide with an infinite number of small windowsOn a waveguide with frequently alternating boundary conditions: homogenized Neumann conditionUniform resolvent convergence for strip with fast oscillating boundaryOn resolvent approximations of elliptic differential operators with locally periodic coefficientsSpectral approach to homogenization of hyperbolic equations with periodic coefficientsSpectral Approach to Homogenization of Elliptic Operators in a Perforated SpaceOn operator error estimates for homogenization of hyperbolic systems with periodic coefficientsOn the homogenization of degenerate elliptic equationsApproximation of the exponential of a diffusion operator with multiscale coefficientsA periodic parabolic Cauchy problem: Homogenization with correctorHomogenization and asymptotics for a waveguide with an infinite number of closely located small windowsHomogenization: in mathematics or physics?Operator error estimates in the homogenization problem for nonstationary periodic equationsHomogenization of elliptic operators with periodic coefficients in dependence of the spectral parameterHomogenization in the Sobolev class $H^{1}(\mathbb R^{d})$ for second order periodic elliptic operators with the inclusion of first order termsOperator estimates in nonlinear problems of reiterated homogenizationApproximations of the operator exponential in a periodic diffusion problem with driftHomogenization of parabolic and elliptic periodic operators in $L_2(\mathbb {R}^d)$ with the first and second correctors taken into accountEstimates of locally periodic and reiterated homogenization for parabolic equationsOperator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domainHomogenization of elliptic systems with periodic coefficients: operator error estimates in $L_2(\mathbb {R}^d)$ with corrector taken into account



Cites Work


This page was built for publication: Some estimates from homogenization theory