3 papers
math.PR2025
Pathwise uniqueness by noise for singular stochastic PDEs
Davide Addona, Davide Bignamini, Carlo Orrieri +1
Pathwise uniqueness for stochastic PDEs with drift in differential form is a main open problem in the recent literature on regularisation by noise. This paper establishes a self-co…
math.PR2025
Weak stability by noise for approximations of doubly nonlinear evolution equations
Carlo Orrieri, Luca Scarpa, Ulisse Stefanelli
Doubly nonlinear stochastic evolution equations are considered. Upon assuming the additive noise to be rough enough, we prove the existence of probabilistically weak solutions of F…
math.AP2025
Cahn-Hilliard equations with singular potential, reaction term and pure phase initial datum
Maurizio Grasselli, Luca Scarpa, Andrea Signori
We consider local and nonlocal Cahn-Hilliard equations with constant mobility and singular potentials including, e.g., the Flory-Huggins potential, subject to no-flux (or periodic)…