Decorrelation of total mass via energy

Le Chen; Davar Khoshnevisan; Kunwoo Kim

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arXiv · 1410.6523

Decorrelation of total mass via energy

Le Chen·Davar Khoshnevisan·Kunwoo Kim

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Abstract

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.

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Le Chen, Davar Khoshnevisan, Kunwoo Kim. 2014-10-23. Decorrelation of total mass via energy. https://arxiv.org/abs/1410.6523

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