3 citations · 4 across the 6 of their papers we have counts for
8 papers · 1 filter
On the valleys of the stochastic heat equation
Davar Khoshnevisan, Kunwoo Kim, Carl Mueller
We consider a generalization of the parabolic Anderson model driven by space-time white noise, also called the stochastic heat equation, on the real line. High peaks of solutions h…
Phase Analysis for a family of Stochastic Reaction-Diffusion Equations
Davar Khoshnevisan, Kunwoo Kim, Carl Mueller +1
We consider a reaction-diffusion equation of the type \[ \partial_tψ= \partial^2_xψ+ V(ψ) + λσ(ψ)\dot{W} \qquad\text{on }, \] subject to a "nice" init…
Limit theorems for time-dependent averages of nonlinear stochastic heat equations
Kunwoo Kim, Jaeyun Yi
We study limit theorems for time-dependent averages of the form , as , where and is th…
Stochastic comparisons for stochastic heat equation
Le Chen, Kunwoo Kim
We establish the stochastic comparison principles, including moment comparison principle as a special case, for solutions to the following nonlinear stochastic heat equation on $\m…
Dissipation in parabolic SPDEs
Davar Khoshnevisan, Kunwoo Kim, Carl Mueller +1
The study of intermittency for the parabolic Anderson problem usually focuses on the moments of the solution which can describe the high peaks in the probability space. In this pap…
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…