2 papers
math.PR2025
Asymptotic behavior of the stochastic heat equation over large intervals
David Candil, Robert C. Dalang, Marta Sanz Solé
We consider a nonlinear stochastic heat equation on , driven by a space-time white noise , with a given initial condition an…
math.PR2023
Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds
David Candil, Le Chen, Cheuk Yin Lee
We consider nonlinear parabolic stochastic PDEs on a bounded Lipschitz domain driven by a Gaussian noise that is white in time and colored in space, with Dirichlet or Neumann bound…