Linear Elliptic Homogenization for a Class of Highly Oscillating Nonperiodic Potentials

. We consider a homogenization problem for the second-order elliptic equation \ (- u^ + 1 V (. /) u^ + u^ =f\) when the highly oscillatory potential \ (V\) belongs to a particular class of nonperiodic potentials. We show the existence of an adapted corrector and prove the convergence of \ (u^ \) to its homogenized limit. Keywordshomogenizationelliptic PDEsdefectscorrector equationMSC codes35B2735J15