2 papers
math.PR2026
Sharp regularity and small ball probabilities for the stochastic heat equation on bounded domains
Jingwu Hu, Cheuk Yin Lee
We consider the stochastic heat equation on a bounded Lipschitz domain with zero Dirichlet boundary condition and zero initial condit…
math.PR2025
On the spatio-temporal increments of nonlinear parabolic SPDEs and the open KPZ equation
Jingwu Hu, Cheuk Yin Lee
We study spatio-temporal increments of the solutions to nonlinear parabolic SPDEs on a bounded interval with Dirichlet, Neumann, or Robin boundary conditions. We identify the exact…