M. Dorodnyi

activity

20162026

most citedHomogenization of hyperbolic equations with periodic coefficients in

R^{d}

: sharpness of the results

4 citations · 9 across the 8 of their papers we have counts for

collaborators

8 papers

hep-ph2026

Spectral fringes without subcycles in Schwinger pair production and Dirac materials

I. A. Aleksandrov, M. A. Dorodnyi, E. D. Akimkina

Spectral fringes in Schwinger pair creation are usually attributed to structured driving, such as carrier oscillations, pulse trains, or multiple creation events. We show that pron…

math.AP2023

High-energy homogenization of a multidimensional nonstationary Schrödinger equation

Mark Dorodnyi

In $L_{2} (R^{d})$ , we consider an elliptic differential operator $\mathcal{A}_\varepsilon = - \operatorname{div} g(\mathbf{x}/\varepsilon) \nabla + \varepsilon^{-2} V(\mathbf{…

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★ 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…

Spectral fringes without subcycles in Schwinger pair production and Dirac materials

High-energy homogenization of a multidimensional nonstationary Schrödinger equation

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