CORRECTOR PROBLEM IN THE SPACE OF LOCALLY UNIFORMLY BOUNDED FUNCTIONS AND APPLICATIONS
Achille Landri Pokam Kakeu, Mapundi K. Banda · Journal of Mathematical Sciences · 2025
Abstract Our aim in this paper is to provide a detailed proof of the existence of the corrector, based on the existence of local weak solutions to linear problems. We seek the solution of a second-order linear partial differential equation in divergence form in the usual sense of distribution. The obtained result represents a significant step towards the numerical implementation of deterministic homogenization theory results beyond the periodic setting.