71 citations · 178 across the 32 of their papers we have counts for
29 papers · 1 filter
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…
Multivariate Poisson approximation of joint subgraph counts in random graphs via size-biased couplings
Eulalia Nualart, Rui-Ray Zhang
Using Chen-Stein method in combination with size-biased couplings, we obtain the multivariate Poisson approximation in terms of the Wasserstein distance. As applications, we study…
On the well-posedness of SPDEs with locally Lipschitz coefficients
Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart
We consider the stochastic partial differential equation, where is defined for $(t\,,x)\in(0\,,\infty)\…
Instantaneous everywhere-blowup of parabolic SPDEs
Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart
We consider the following stochastic heat equation \begin{equation*} \partial_t u(t\,,x) = \tfrac12 \partial^2_x u(t\,,x) + b(u(t\,,x)) + σ(u(t\,,x)) \dot{W}(t\,,x), \end{equation*…
Density estimates for jump diffusion processes
Arturo Kohatsu-Higa, Eulalia Nualart, Ngoc Khue Tran
We consider a real-valued diffusion process with a linear jump term driven by a Poisson point process and we assume that the jump amplitudes have a centered density with finite mom…
Non-existence results for stochastic wave equations in one dimension
Mohammud Foondun, Eulalia Nualart
The purpose of this paper is extend recent results of Bonder-Groisman and Foondun-Nualart to the stochastic wave equation. In particular, a suitable integrability condition for non…