期刊
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
卷 107, 期 2, 页码 123-149出版社
ELSEVIER
DOI: 10.1016/j.matpur.2016.06.001
关键词
Logarithmic Schrodinger equation; Maximal monotonicity; Stochastic PDE; Wiener process
资金
- DFG [CRC 701]
- CNCS-VEFISCDI (Romania) [PN-II-2012-4-0456]
- NSFC [11501362]
- China Postdoctoral Science Foundation [2015M581598]
In this paper we prove global existence and uniqueness of solutions to the stochastic logarithmic Schrodinger equation with linear multiplicative noise. Our approach is mainly based on the rescaling approach and the method of maximal monotone operators. In addition, uniform estimates of solutions in the energy space H-1(R-d) and in an appropriate Orlicz space are also obtained here. (C) 2016 Elsevier Masson SAS. All rights reserved.
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