29 citations · 36 across the 7 of their papers we have counts for
8 papers
Gaussian fluctuations for the stochastic heat equation with colored noise
Jingyu Huang, David Nualart, Lauri Viitasaari +1
In this paper, we present a quantitative central limit theorem for the d-dimensional stochastic heat equation driven by a Gaussian multiplicative noise, which is white in time and…
Regularity and strict positivity of densities for the stochastic heat equation on
Le Chen, Jingyu Huang
In this paper, we study the stochastic heat equation with a general multiplicative Gaussian noise that is white in time and colored in space. Both regularity and strict positivity…
A Central Limit Theorem for the stochastic heat equation
Jingyu Huang, David Nualart, Lauri Viitasaari
We consider the one-dimensional stochastic heat equation driven by a multiplicative space-time white noise. We show that the spatial integral of the solution from to conve…
Analysis of a Stratified Kraichnan Flow
Jingyu Huang, Davar Khoshnevisan
We consider the stochastic convection-diffusion equation \[ \partial_t u(t\,,{\bf x}) =νΔu(t\,,{\bf x}) + V(t\,,x_1)\partial_{x_2}u(t\,,{\bf x}), \] for and ${\bf x}=(x_1\,,x…
Spatial asymptotic of the stochastic heat equation with compactly supported initial data
Jingyu Huang, Khoa Lê
We investigate the growth of the tallest peaks of random field solutions to the parabolic Anderson models over concentric balls as the radii approach infinity. The noise is white i…
Dense blowup for parabolic SPDEs
Le Chen, Jingyu Huang, D. Khoshnevisan +1
The main result of this paper is that there are examples of stochastic partial differential equations [hereforth, SPDEs] of the type $$ \partial_t u=\frac12Δu +σ(u)η\qquad\text{on…