2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219468We study perturbations of the Allen-Cahn equation and prove the convergence to forced mean curvature flow in the sharp interface limit. We allow for perturbations that are square-integrable with respect to the diffuse surface area measure. We give a suitable generalized formulation for forced mean curvature flow and apply previous results for the Allen-Cahn action functional. Finally we discuss some applications.23 pagesAnalysis of PDEsDifferential Geometry53C44; 35K55, 49Q15text