African Diaspora Journal of Mathematics

Periodic Homogenization of Schrödinger Type Equations with Rapidly Oscillating Potential

Lazarus Signing

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This paper is devoted to the homogenization of Shrödinger type equations with periodically oscillating coefficients of the diffusion term, and a rapidly oscillating periodic potential. One convergence theorem is proved and we derive the macroscopic homogenized model. Our approach is the well known two-scale convergence method.

Article information

Afr. Diaspora J. Math. (N.S.), Volume 19, Number 2 (2016), 29-45.

First available in Project Euclid: 10 December 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35B27: Homogenization; equations in media with periodic structure [See also 74Qxx, 76M50] 35B40: Asymptotic behavior of solutions 81Q05: Closed and approximate solutions to the Schrödinger, Dirac, Klein- Gordon and other equations of quantum mechanics

Periodic homogenization Schrödinger Two-scale convergence


Signing, Lazarus. Periodic Homogenization of Schrödinger Type Equations with Rapidly Oscillating Potential. Afr. Diaspora J. Math. (N.S.) 19 (2016), no. 2, 29--45.

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