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Showing 2021 · math.PRShow all
3 papers · 2 filters
math.PR2021★ 10 cited
Quantitative central limit theorems for the parabolic Anderson model driven by colored noises
David Nualart, Panqiu Xia, Guangqu Zheng
In this paper, we study the spatial averages of the solution to the parabolic Anderson model driven by a space-time Gaussian homogeneous noise that is colored in time and space. We…
math.PR2021★ 4 cited
Regularization of differential equations by two fractional noises
David Nualart, Ercan Sönmez
In this paper we show the existence and uniqueness of a solution for a stochastic differential equation driven by an additive noise which is the sum of two fractional Brownian moti…
math.PR2021★ 15 cited
The hyperbolic Anderson model: Moment estimates of the Malliavin derivatives and applications
Raluca M. Balan, David Nualart, Lluís Quer-Sardanyons +1
In this article, we study the hyperbolic Anderson model driven by a space-time \emph{colored} Gaussian homogeneous noise with spatial dimension . Under mild assumptions, we…