Fluctuations of a nonlinear stochastic heat equation in dimensions three and higher

Yu Gu; Jiawei Li

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arXiv · 1911.01416

Fluctuations of a nonlinear stochastic heat equation in dimensions three and higher

Yu Gu·Jiawei Li

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Abstract

We study the solution to a nonlinear stochastic heat equation in $d\geq 3$. The equation is driven by a Gaussian multiplicative noise that is white in time and smooth in space. For a small coupling constant, we prove (i) the solution converges to the stationary distribution in large time; (ii) the diffusive scale fluctuations are described by the Edwards-Wilkinson equation.

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Yu Gu, Jiawei Li. 2019-11-04. Fluctuations of a nonlinear stochastic heat equation in dimensions three and higher. https://arxiv.org/abs/1911.01416

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