71 citations · 352 across the 75 of their papers we have counts for
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Points of slow growth for parabolic SPDEs
Davar Khoshnevisan, Cheuk Yin Lee
Consider the stochastic PDE, on , subject to , where denotes space-time white noi…
Uniform dimension theorems for parabolic SPDEs
Davar Khoshnevisan, Cheuk Yin Lee, Fei Pu +1
Consider the following -dimensional system of Itô type stochastic PDEs, \begin{align*}\left[\begin{aligned} &\partial_t u(t\,,x) = \partial^2_x u(t\,,x) + b(u(t\,,x)) + σ(u(t\,,…
On the local well-posedness of randomly forced reaction-diffusion equations with initial data and a superlinear reaction term
Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart
We consider a parabolic stochastic partial differential equation (SPDE) on that is forced with multiplicative space-time white noise with a bounded and Lipschitz diffusio…
On the passage times of self-similar Gaussian processes on curved boundaries
Davar Khoshnevisan, Cheuk Yin Lee
Let denote the smallest that a continuous, self-similar Gaussian process with self-similarity index moves at least units. We prove that: (i) If…
An Invariance Principle for some Reaction-Diffusion Equations with a Multiplicative Random Source
Davar Khoshnevisan, Kunwoo Kim, Carl Mueller
We establish a notion of universality for the parabolic Anderson model via an invariance principle for a wide family of parabolic stochastic partial differential equations. We then…