Linear Elliptic Homogenization for a Class of Highly Oscillating Nonperiodic Potentials
Rémi Goudey, Claude Le Bris · SIAM Journal on Mathematical Analysis · 2024
Abstract. We consider a homogenization problem for the second-order elliptic equation [Formula: see text] when the highly oscillatory potential [Formula: see text] belongs to a particular class of nonperiodic potentials. We show the existence of an adapted corrector and prove the convergence of [Formula: see text] to its homogenized limit.