On the density of the supremum of nonlinear SPDEs

Georgia Karali, Alexandra Stavrianidi, Konstantinos Tzirakis +1

We study the one-dimensional stochastic partial differential equation \begin{equation*} \frac{\partial u}{\partial t}(t,x) = -κ\frac{\partial^4 u}{\partial x^4}(t,x) + ρ\frac{\part…