Yu. M. Meshkova

activity

20152023

most citedHomogenization of the Dirichlet problem for elliptic systems: Two-parametric error estimates

6 citations · 25 across the 9 of their papers we have counts for

collaborators

10 papers

math.AP2023

Homogenization of the first initial-boundary value problem for periodic hyperbolic systems. Principal term of approximation

Yulia Meshkova

Let $O \subset R^{d}$ be a bounded domain of class $C^{1, 1}$ . In $L_{2} (O; C^{n})$ , we consider a matrix elliptic second order differential operator…

math.AP2020★ 3 cited

Homogenization of periodic parabolic systems in the $L_{2} (R^{d})$ -norm with the corrector taken into account

Yu. M. Meshkova

In $L_{2} (R^{d}; C^{n})$ , consider a self-adjoint matrix second order elliptic differential operator $B_{ε}$ , $0 < ε ⩽ 1$ . The principa…

math.AP2019★ 3 cited

Note on quantitative homogenization results for parabolic systems in $R^{d}$

Yulia Meshkova

In $L_{2} (R^{d}; C^{n})$ , we consider a semigroup $e^{- t A_{ε}}$ , $t ⩾ 0$ , generated by a matrix elliptic second order differential operator $A_\varepsilon…

math.AP2019★ 3 cited

Variations on the theme of the Trotter-Kato theorem for homogenization of periodic hyperbolic systems

Yulia Meshkova

In $L_{2} (R^{d}; C^{n})$ , we consider a matrix elliptic second order differential operator $B_{ε} > 0$ . Coefficients of the operator $B_{ε}$ are periodic…

math.AP2018★ 5 cited

On homogenization of the first initial-boundary value problem for periodic hyperbolic systems

Yulia Meshkova

Let $O \subset R^{d}$ a bounded domain of class $C^{1, 1}$ . In $L_{2} (O; C^{n})$ , we consider a self-adjoint matrix strongly elliptic second order diffe…

math.AP2018★ 1 cited

Homogenization of the first initial boundary-value problem for parabolic systems: operator error estimates

Yu. M. Meshkova, T. A. Suslina

Let $O \subset R^{d}$ be a bounded domain of class $C^{1, 1}$ . In $L_{2} (O; C^{n})$ , we consider a selfadjoint matrix second order elliptic differential…

math.AP2017

On operator error estimates for homogenization of hyperbolic systems with periodic coefficients

Yulia Meshkova

In $L_{2} (R^{d}; C^{n})$ , we consider a selfadjoint matrix strongly elliptic second order differential operator $A_{ε}$ , $ε > 0$ . The coeffici…

math.AP2017★ 6 cited

Homogenization of the Dirichlet problem for elliptic systems: Two-parametric error estimates

Yulia Meshkova, Tatiana Suslina

Let $O \subset R^{d}$ be a bounded domain of class $C^{1, 1}$ . In $L_{2} (O; C^{n})$ , we study a selfadjoint matrix elliptic second order differential op…

math.AP2015

Two-parametric error estimates in homogenization of second order elliptic systems in $R^{d}$ including lower order terms

Yu. M. Meshkova, T. A. Suslina

In $L_{2} (R^{d}; C^{n})$ , we consider a selfadjoint operator $B_{ε}$ , $0 < ε ⩽ 1$ , given by the differential expression $b({\mathbf…

math.AP2015★ 4 cited

Homogenization of initial boundary value problems for parabolic systems with periodic coefficients

Yu. M. Meshkova, T. A. Suslina

Let $O \subset R^{d}$ be a bounded domain of class $C^{1, 1}$ . In the Hilbert space $L_{2} (O; C^{n})$ , we consider matrix elliptic second order differ…

Homogenization of the first initial-boundary value problem for periodic hyperbolic systems. Principal term of approximation

Homogenization of periodic parabolic systems in the L2​(Rd)-norm with the corrector taken into account

Note on quantitative homogenization results for parabolic systems in Rd

Variations on the theme of the Trotter-Kato theorem for homogenization of periodic hyperbolic systems

On homogenization of the first initial-boundary value problem for periodic hyperbolic systems

Homogenization of the first initial boundary-value problem for parabolic systems: operator error estimates

On operator error estimates for homogenization of hyperbolic systems with periodic coefficients

Homogenization of the Dirichlet problem for elliptic systems: Two-parametric error estimates

Two-parametric error estimates in homogenization of second order elliptic systems in Rd including lower order terms

Homogenization of initial boundary value problems for parabolic systems with periodic coefficients

Homogenization of periodic parabolic systems in the $L_{2} (R^{d})$ -norm with the corrector taken into account

Note on quantitative homogenization results for parabolic systems in $R^{d}$

Two-parametric error estimates in homogenization of second order elliptic systems in $R^{d}$ including lower order terms