M. Dorodnyi

activity

20162022

most citedHomogenization of hyperbolic equations with periodic coefficients in

R^{d}

: sharpness of the results

4 citations · 6 across the 5 of their papers we have counts for

collaborators

6 papers

math.AP2022★ 1 cited

High-frequency homogenization of nonstationary periodic equations

Mark Dorodnyi

We consider an elliptic differential operator $A_{ε} = - \frac{d}{d x} g (x / ε) \frac{d}{d x} + ε^{- 2} V (x / ε)$ , $ε > 0$ , with periodic c…

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.AP2020

Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: sharpness of the results

Mark Dorodnyi

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

math.AP2019★ 1 cited

Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: dependence on time

Mark Dorodnyi

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

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.AP2016

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…

High-frequency homogenization of nonstationary periodic equations

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

Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: sharpness of the results

Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: dependence on time

Spectral approach to homogenization of hyperbolic equations with periodic coefficients

Homogenization of hyperbolic equations with periodic coefficients

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