First-order homogenization

Proceedings of the Royal Society of Edinburgh Section A Mathematics 2026 Open access

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Authors: Riccardo Cristoferi, Lorenza D’Elia
DOI: 10.1017/prm.2026.10125
Cited by: 0
References: 30

Abstract

We provide a first-order homogenization result for quadratic functionals. In particular, we identify the scaling of the energy and the explicit form of the limiting functional in terms of the first-order correctors. The main novelty of the paper is the use of the dual correspondence between quadratic functionals and PDEs, combined with a refinement of the classical Riemann–Lebesgue lemma.

Fields of Study & Subjects

Composite Material Mechanics Advanced Mathematical Modeling in Engineering

Publication details

Journal / source
Proceedings of the Royal Society of Edinburgh Section A Mathematics
Pages
1–36
Publication date
29 January 2026
Language
EN