Periodic Homogenization of Schrödinger type equations with rapidly oscillating potential

2014/10/24 by Lazarus Signing, Signing, Lazarus
Computer Science · Engineering · Mathematics · #35B27 #35B40 #81Q05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #Differential Equations and Numerical Methods #FOS: Mathematics #math.AP #msc:35B27 #msc:35B40 #msc:81Q05

paper · pdf · doi:10.48550/arxiv.1410.6645

The document has been withdrawn due to some crucial hypotheses on the potential

openalex publication_date 2014/10/24 · arxiv created 2016/11/27 · arxiv updated 2016/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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