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.
Building similarity graph...
Analyzing shared references across papers
Loading...
Riccardo Cristoferi
Lorenza D’Elia
Proceedings of the Royal Society of Edinburgh Section A Mathematics
Radboud University Nijmegen
TU Wien
Building similarity graph...
Analyzing shared references across papers
Loading...
Cristoferi et al. (Thu,) studied this question.
www.synapsesocial.com/papers/69a75bc3c6e9836116a23b3e — DOI: https://doi.org/10.1017/prm.2026.10125