A White Noise Approach to Quantum Stochastic Cable Equations

Cai Shi WANG(1),Zhi Yuan HUANG

Acta Mathematica Sinica, Chinese Series ›› 2002, Vol. 45 ›› Issue (5) : 851-862.

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中国科学院数学与系统科学研究院期刊网
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Acta Mathematica Sinica, Chinese Series ›› 2002, Vol. 45 ›› Issue (5) : 851-862. DOI: 10.12386/A2002sxxb0111
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A White Noise Approach to Quantum Stochastic Cable Equations

  • Cai Shi WANG(1),Zhi Yuan HUANG
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Abstract

A nonlinear quantum stochastic Cable equation in terms of generalized operators and their Wick products is investigated. The existence and uniqueness of the solution are established, and the continuous dependence on the initial process and other properties are proved for the solution.

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Cai Shi WANG(1),Zhi Yuan HUANG. A White Noise Approach to Quantum Stochastic Cable Equations. Acta Mathematica Sinica, Chinese Series, 2002, 45(5): 851-862 https://doi.org/10.12386/A2002sxxb0111
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