Estimates in homogenization of higher-order elliptic operators

TL;DR

This paper develops operator estimates for the homogenization of higher-order elliptic operators, including non-selfadjoint cases with lower-order terms, extending the theoretical understanding of homogenization in complex elliptic PDEs.

Contribution

It provides new operator estimates for homogenization of arbitrary even-order elliptic operators, including non-selfadjoint cases with lower-order terms.

Findings

Established homogenization estimates for higher-order elliptic operators.

Extended results to non-selfadjoint operators with lower-order terms.

Applicable to operators of arbitrary even order.

Abstract

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 with lower-order terms.