3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.PR2017
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…
math.PR2015★ 3 cited
Intermittency and multifractality: A case study via parabolic stochastic PDEs
Davar Khoshnevisan, Kunwoo Kim, Yimin Xiao
Let denote space-time white noise, and consider the following stochastic partial differential equations: (i) , started identically at one; and (ii)…
math.PR2013★ 1 cited
Non-linear noise excitation and intermittency under high disorder
Davar Khoshnevisan, Kunwoo Kim
Consider the semilinear heat equation on the interval with Dirichlet zero boundary condition and a nice non-random initial functi…