S. Pastukhova

activity

20152022

most citedOn homogenization estimates in Neuman boundary value problem for an elliptic equation with multiscale coefficients

3 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2022

Improved homogenization estimates for high order elliptic systems

Svetlana Pastukhova

In the whole space $R^{d}$ ( $d \geq 2$ ), we study homogenization of a divergence-form matrix elliptic operator $L_{ε}$ of an arbitrary even order larger than 2 with measurable…

math.AP2021

Homogenization estimates for high order elliptic operators

S. E. Pastukhova

In the whole space $R^{d}$ , $d \geq 2$ , we study homogenization of a divergence form elliptic operator $A_{ε}$ of order $2 m \geq 4$ with measurable $ε$ -periodic coeffic…

math.AP2021

Improved approximations of resolvents in homogenization of fourth-order operators with periodic coefficients

Svetlana Pastukhova

In the whole space $R^{d}$ , $d \geq 2$ , we study homogenization of a divergence form elliptic fourth-order operator $A_{ε}$ with measurable $ε$ -periodic coefficients,…

math.AP2015★ 3 cited

On homogenization estimates in Neuman boundary value problem for an elliptic equation with multiscale coefficients

Svetlana Pastukhova, Roman Tikhomirov

Homogenization of a scalar elliptic equation in a bounded domain with Neuman boundary condition is studied. Coefficients of the operator are oscillating over two different groups o…

math.AP2015

Estimates in homogenization of higher-order elliptic operators

Svetlana Pastukhova

Operator-type estimates of homogenization are obtained for elliptic operators of arbitrary even order equal or greater than two. Operators under consideration are non-selfadjoint w…