<div class="csl-bib-body">
<div class="csl-entry">Cristoferi, R., & D’Elia, L. (2025). <i>First-order homogenization</i>. arXiv. https://doi.org/10.48550/arXiv.2505.18848</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/216404
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dc.description.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.