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arXiv · 2505.18848

First-order homogenization

Riccardo Cristoferi·Lorenza D'Elia
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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.

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Riccardo Cristoferi, Lorenza D'Elia. 2025-05-24. First-order homogenization. https://doi.org/10.1017/prm.2026.10125

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