کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775918 1631756 2017 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global energy solutions to a stochastic Schrödinger-Poisson system with multiplicative noise in two dimensions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Global energy solutions to a stochastic Schrödinger-Poisson system with multiplicative noise in two dimensions
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 300, 1 May 2017, Pages 40-59
نویسندگان
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