77 citations · 160 across the 36 of their papers we have counts for
5 papers · 1 filter
Nonlinear stochastic heat equation driven by spatially colored noise: moments and intermittency
Le Chen, Kunwoo Kim
In this paper, we study the stochastic heat equation in the spatial domain subject to a Gaussian noise which is white in time and colored in space. The spatial corre…
A Boundedness Trichotomy for the Stochastic Heat Equation
Le Chen, Davar Khoshnevisan, Kunwoo Kim
We consider the stochastic heat equation with a multiplicative white noise forcing term under standard "intermitency conditions." The main finding of this paper is that, under mild…
Nonlinear stochastic time-fractional slow and fast diffusion equations on
Le Chen, Yaozhong Hu, David Nualart
This paper studies the nonlinear stochastic partial differential equation of fractional orders both in space and time variables: \[ \left(\partial^β+\fracν{2}(-Δ)^{α/2}\right)u(t,x…
Two-point correlation function and Feynman-Kac formula for the stochastic heat equation
Le Chen, Yaozhong Hu, David Nualart
In this paper, we obtain an explicit formula for the two-point correlation function for the solutions to the stochastic heat equation on . The bounds for -th moments…
Space-time fractional diffusions in Gaussian noisy environment
Le Chen, Guannan Hu, Yaozhong Hu +1
This paper studies the linear stochastic partial differential equation of fractional orders both in time and space variables $\left(\partial^β+ \fracν{2} (-Δ)^{α/2} \right) u(t,x)=…