Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales

doi:10.1155/2019/9382079

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	Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales
	Tang, Yuling 1; Wang, Caishi 1; Ren, Suling 1; Chen, Jinshu 2
刊名	ADVANCES IN MATHEMATICAL PHYSICS
	2019
卷号	2019
ISSN号	1687-9120
DOI	10.1155/2019/9382079
英文摘要	Let M be a discrete-time normal martingale satisfying some mild conditions. Then Gel'fand triple S(M)< subset of>L2(M)< subset of>S?(M) can be constructed of functionals of M, where elements of S(M) are called testing functionals of M, while elements of S?(M) are called generalized functionals of M. In this paper, we consider a quantum stochastic cable equation in terms of operators from S(M) to S?(M). Mainly with the 2D-Fock transform as the tool, we establish the existence and uniqueness of a solution to the equation. We also examine the continuity of the solution and its continuous dependence on initial values.
资助项目	National Natural Science Foundation of China[11461061] ; National Natural Science Foundation of China[11861057]
WOS研究方向	Physics
语种	英语
出版者	HINDAWI LTD
WOS记录号	WOS:000455727200001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32250]
专题	理学院
通讯作者	Wang, Caishi
作者单位	1.Northeast Normal Univ, Sch Math & Stat, Lanzhou 730070, Gansu, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Tang, Yuling,Wang, Caishi,Ren, Suling,et al. Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales[J]. ADVANCES IN MATHEMATICAL PHYSICS,2019,2019.
APA	Tang, Yuling,Wang, Caishi,Ren, Suling,&Chen, Jinshu.(2019).Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales.ADVANCES IN MATHEMATICAL PHYSICS,2019.
MLA	Tang, Yuling,et al."Quantum Stochastic Cable Equation Acting on Functionals of Discrete-Time Normal Martingales".ADVANCES IN MATHEMATICAL PHYSICS 2019(2019).