We study a high-field version of the periodic Schro¨dinger-Poisson system, for which the Poisson equation includes nonlinear terms corresponding to a field-dependent dielectric constant. Using a Galerkin scheme, we prove global existence and uniqueness, and present the matrix equations for the numer
An asymptotically linear Schrödinger–Poisson system on
✍ Scribed by Hongbo Zhu
- Book ID
- 116761208
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 229 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
We show that a high-field version of the periodic Schro dinger Poisson system including nonlinear terms in the Poisson equation (corresponding to a fielddependent dielectric constant) and effective potentials in the Schro dinger equation has an infinite number of different stationary states which co
## Abstract In this paper the time decay rates for the solutions to the Schrödinger–Poisson system in the repulsive case are improved in the context of semiconductor theory. Upper and lower estimates are obtained by using a norm involving the potential energy and the dispersion equation. In the att