J. Yi

activity

20202026

most citedFractal Geometry of the Valleys of the Parabolic Anderson Equation

3 citations · 4 across the 8 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.PR2023

$L_{p}$ -regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

Beom-Seok Han, Jaeyun Yi

We study the existence, uniqueness, and regularity of the solution to the stochastic reaction-diffusion equation (SRDE) with colored noise $F ˙$ : $$ \partial_t u = a^{ij}u_{x^i…

math.PR2023

Fractal geometry of the PAM in 2D and 3D with white noise potential

Promit Ghosal, Jaeyun Yi

We study the parabolic Anderson model (PAM) \begin{equation} {\partial \over \partial t}u(t,x) =\frac{1}{2}Δu(t,x) + u(t,x)ξ(x), \quad t>0, x\in \mathbb{R}^d, \quad \text{and} \qua…

Lp​-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

Fractal geometry of the PAM in 2D and 3D with white noise potential

$L_{p}$ -regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity