Decorrelation of Total Mass Via Energy

作者：Chen Le; Khoshnevisan Davar; Kim Kunwoo^*

来源：Potential Analysis, 2016, 45(1): 157-166.

DOI：10.1007/s11118-016-9540-7

• The stochastic heat equation
• Finite particle systems
• Total mass
• Mutual energy

The main result of this small note is a quantified version of the assertion that if u and v solve two nonlinear stochastic heat equations, and if the mutual energy between the initial states of the two stochastic PDEs is small, then the total masses of the two systems are nearly uncorrelated for a very long time. One of the consequences of this fact is that a stochastic heat equation with regular coefficients is a finite system if and only if the initial state is integrable.

• 出版日期2016-7