2 papers
math.PR2022
Invariant measures for the nonlinear stochastic heat equation with no drift term
Le Chen, Nicholas Eisenberg
This paper deals with the long term behavior of the solution to the nonlinear stochastic heat equation , where is assumed…
math.PR2021
Interpolating the Stochastic Heat and Wave Equations with Time-independent Noise: Solvability and Exact Asymptotics
Le Chen, Nicholas Eisenberg
In this article, we study a class of stochastic partial differential equations with fractional differential operators subject to some time-independent multiplicative Gaussian noise…