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arXiv · 1410.6645

Periodic Homogenization of Schrödinger type equations with rapidly oscillating potential

Lazarus Signing
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Abstract

This paper is devoted to the homogenization of Shrödinger 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.

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Lazarus Signing. 2016-11-27. Periodic Homogenization of Schrödinger type equations with rapidly oscillating potential. https://arxiv.org/abs/1410.6645

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