March 3, 2026Open Access

First-order homogenization

Key Points

Identifying the explicit form of the limiting functional is crucial for understanding energy scaling.
The scaling of energy directly relates to the behavior of first-order correctors in the study.
Using dual correspondence enhances insights into the relationship between quadratic functionals and PDEs.
The refinement of the Riemann–Lebesgue lemma opens new avenues for future mathematical explorations.

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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Discussion

Authors

Riccardo Cristoferi

Lorenza D’Elia

Journals

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Actions

Institutions

Radboud University Nijmegen

TU Wien

References and Citations

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Building similarity graph...

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First-order homogenization

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

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