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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.PR2024
Weak uniqueness by noise for singular stochastic PDEs
Federico Bertacco, Carlo Orrieri, Luca Scarpa
We prove weak uniqueness of mild solutions for general classes of SPDEs on a Hilbert space. The main novelty is that the drift is only defined on a Sobolev-type subspace and no Hö…