Global energy solutions to a stochastic Schrödinger–Poisson system with multiplicative noise in two dimensions

Lixin Meng, Jingyu Li and Jian Tao

Applied Mathematics and Computation, 2017, vol. 300, issue C, 40-59

Abstract: We are concerned with the Cauchy problem for a two-dimensional stochastic Schrödinger–Poisson system with a multiplicative noise in the energy space. Depending on the values of the physical parameters, this system models a self-gravitating Bose–Einstein condensate of the dark matter in the universe or the electron transport in semiconductors under the effect of thermal fluctuations. We show that in both cases the system admits a unique global solution in H1. The key ingredient of this paper is to establish appropriate commutator estimates for the multiplicative noise.

Keywords: Schrödinger–Poisson system; Stochastic partial differential equations; White noise; Global solutions; Commutator estimates (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316307184
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:300:y:2017:i:c:p:40-59

DOI: 10.1016/j.amc.2016.12.002

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().