Periodic Homogenization of Schr\"odinger type equations with rapidly oscillating potential
Analysis of PDEs
2016-11-29 v3
Abstract
This paper is devoted to the homogenization of Shr\"odinger type equations with periodically oscillating coefficients of the diffusion term, and a rapidly oscillating periodic time-dependent potential. One convergence theorem is proved and we derive the macroscopic homogenized model. Our approach is the well known two-scale convergence method.
Keywords
Cite
@article{arxiv.1410.6645,
title = {Periodic Homogenization of Schr\"odinger type equations with rapidly oscillating potential},
author = {Lazarus Signing},
journal= {arXiv preprint arXiv:1410.6645},
year = {2016}
}
Comments
The document has been withdrawn due to some crucial hypotheses on the potential