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20142025
most citedNonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms

40 citations · 405 across the 53 of their papers we have counts for

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Showing 2023 · math.PRShow all

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math.PR2023

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 Höl…

math.PR2023

A note on regularity and separation for the stochastic Allen-Cahn equation with logarithmic potential

Carlo Orrieri, Luca Scarpa

We prove refined space-time regularity for the classical stochastic Allen-Cahn equation with logarithmic potential. This allows to establish a random separation property, i.e. that…