T. Suslina

activity

20092026

most citedHomogenization of the elliptic Dirichlet problem: operator error estimates in

L_{2}

94 citations · 153 across the 20 of their papers we have counts for

collaborators

21 papers

math.AP2026

Homogenization of Lévy-type operators: operator estimates with correctors

Andrey Piatnitski, Vladimir Sloushch, Tatiana Suslina +1

The goal of the paper is to study in $L_{2} (R^{d})$ a self-adjoint operator ${\mathbb A}_\eps$, $\eps >0$, of the form $$ ({\mathbb A}_\eps u) (\x) = \int_{\R^d} μ(\x/\eps, \y/\eps) \…

math.AP2023

Homogenization of nonlocal convolution type operators: Approximation for the resolvent with corrector

Andrei Piatnitski, Vladimir Sloushch, Tatiana Suslina +1

In $L_{2} (R^{d})$ , we consider a selfadjoint bounded operator $A_{ε}$ , $ε > 0$ , of the form $$ ({\mathbb A}_\varepsilon u) (\mathbf{x}) = \varepsilo…

math.AP2020★ 1 cited

Homogenization of the higher-order Schrödinger-type equations with periodic coefficients

Tatiana Suslina

In $L_{2} (R^{d}; C^{n})$ , we consider a matrix strongly elliptic differential operator $A_{ε}$ of order $2 p$ , $p ⩾ 2$ . The operator ${A}_\varepsilon…

math.AP2020

Regularity of the solution of the Prandtl equation

V. E. Petrov, T. A. Suslina

Solvability and regularity of the solution of the Dirichlet problem for the Prandtl equation $\frac{u ( x )}{p ( x )} - \frac{1}{2 π} \int_{- 1}^{1} \frac{u ^{'} ( t )}{t - x} d t = f (x)$ is studied…

math.AP2020★ 4 cited

Homogenization of hyperbolic equations with periodic coefficients in $R^{d}$ : sharpness of the results

Mark Dorodnyi, Tatiana Suslina

In $L_{2} (R^{d}; C^{n})$ , a selfadjoint strongly elliptic second order differential operator $A_{ε}$ is considered. It is assumed that the coefficie…

math.AP2018★ 7 cited

Homogenization of the stationary Maxwell system with periodic coefficients in a bounded domain

Tatiana Suslina

In a bounded domain $O \subset R^{3}$ of class $C^{1, 1}$ , we consider a stationary Maxwell system with the perfect conductivity boundary conditions. It is assumed th…

math.AP2018

Homogenization of a stationary periodic Maxwell system in a bounded domain in the case of constant magnetic permeability

Tatiana Suslina

In a bounded domain $O \subset R^{3}$ of class $C^{1, 1}$ , we consider a stationary Maxwell system with the boundary conditions of perfect conductivity. It is assumed…

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

Spectral approach to homogenization of hyperbolic equations with periodic coefficients

Mark Dorodnyi, Tatiana Suslina

In $L_{2} (R^{d}; C^{n})$ , we consider selfadjoint strongly elliptic second order differential operators $A_{ε}$ with periodic coefficients depending o…

math.AP2017★ 4 cited

Homogenization of the Neumann problem for higher-order elliptic equations with periodic coefficients

Tatiana Suslina

Let $O \subset R^{d}$ be a bounded domain of class $C^{2 p}$ . In $L_{2} (O; C^{n})$ , we study a selfadjoint strongly elliptic operator $A_{N,\varepsilon}…

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.AP2016★ 3 cited

Homogenization of hyperbolic equations with periodic coefficients

Mark Dorodnyi, Tatiana Suslina

In $L_{2} (R^{d}; C^{n})$ we consider selfadjoint strongly elliptic second order differential operators $A_{ε}$ with periodic coefficients depending on…

math.AP2015

Homogenization of high order elliptic operators with periodic coefficients

Andrey Kukushkin, Tatiana Suslina

In $L_{2} (R^{d}; C^{n})$ , we study a selfadjoint strongly elliptic operator $A_{ε}$ of order $2 p$ given by the expression $b({\mathbf D})^* g({\mathbf x}/\vare…

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★ 2 cited

Homogenization of nonstationary Schrödinger type equations with periodic coefficients

Tatiana Suslina

In $L_{2} (R^{d}; C^{n})$ we consider selfadjoint strongly elliptic second order differential operators $A_{ε}$ with periodic coefficients depending o…

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…

math.AP2014★ 5 cited

Homogenization of elliptic problems: error estimates in dependence of the spectral parameter

Tatiana Suslina

We consider a strongly elliptic differential expression of the form $b (D)^{*} g (x / ε) b (D)$ , $ε > 0$ , where $g (x)$ is a matrix-valued function in $R^{d}$ as…

math.AP2012

Homogenization of the Neumann problem for elliptic systems with periodic coefficients

Tatiana Suslina

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

math.AP2012★ 94 cited

Homogenization of the elliptic Dirichlet problem: operator error estimates in $L_{2}$

T. A. Suslina

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

math.AP2012★ 10 cited

Operator error estimates for homogenization of the elliptic dirichlet problem in a bounded domain

M. A. Pakhnin, T. A. Suslina

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

math.FA2009★ 12 cited

Spectral approach to homogenization of an elliptic operator periodic in some directions

R. Bunoiu, G. Cardone, T. Suslina

The operator \[ A_{\varepsilon}= D_{1} g_{1}(x_{1}/\varepsilon, x_{2}) D_{1} + D_{2} g_{2}(x_{1}/\varepsilon, x_{2}) D_{2} \] is considered in $L_{2} (R^{2})$ , where $g_{…

Homogenization of Lévy-type operators: operator estimates with correctors

Homogenization of nonlocal convolution type operators: Approximation for the resolvent with corrector

Homogenization of the higher-order Schrödinger-type equations with periodic coefficients

Regularity of the solution of the Prandtl equation

Homogenization of hyperbolic equations with periodic coefficients in Rd: sharpness of the results

Homogenization of the stationary Maxwell system with periodic coefficients in a bounded domain

Homogenization of a stationary periodic Maxwell system in a bounded domain in the case of constant magnetic permeability

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

Spectral approach to homogenization of hyperbolic equations with periodic coefficients

Homogenization of the Neumann problem for higher-order elliptic equations with periodic coefficients

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

Homogenization of hyperbolic equations with periodic coefficients

Homogenization of high order elliptic operators with periodic coefficients

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

Homogenization of nonstationary Schrödinger type equations with periodic coefficients

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

Homogenization of elliptic problems: error estimates in dependence of the spectral parameter

Homogenization of the Neumann problem for elliptic systems with periodic coefficients

Homogenization of the elliptic Dirichlet problem: operator error estimates in L2​

Operator error estimates for homogenization of the elliptic dirichlet problem in a bounded domain

Spectral approach to homogenization of an elliptic operator periodic in some directions

Homogenization of hyperbolic equations with periodic coefficients in $R^{d}$ : sharpness of the results

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

Homogenization of the elliptic Dirichlet problem: operator error estimates in $L_{2}$