Random homogenization of Pseudo-elliptic equations in the presence of long-range media
Atef Lechiheb · arXiv (Cornell University) · 2017
This paper deals with the homogenization theory for one-dimensional pseudo-elliptic equations with highly oscillatory random coefficients displaying long-range correlation. We prove that the corrector to homogenization, i.e. the difference between the random solution and the homogenized solution, convergence to stochastic integrals with respect to Hermite process.