From the viscous Cahn-Hilliard equation to a regularized forward-backward parabolic equation. - Pierluigi Colli; Luca Scarpa (Asymptot. Anal., 2016)

Optimal Distributed Control of a Stochastic Cahn-Hilliard Equation. - Luca Scarpa (SIAM J. Control. Optim., 2019)

Convergence proof for stochastic gradient descent in the training of deep neural networks with ReLU activation for constant target functions. - Martin Hutzenthaler; Arnulf Jentzen; Katharina Pohl; Adrian Riekert; Luca Scarpa (CoRR, 2021)

Analysis and Optimal Velocity Control of a Stochastic Convective Cahn-Hilliard Equation. - Luca Scarpa (J. Nonlinear Sci., 2021)

An Extended Variational Theory for Nonlinear Evolution Equations via Modular Spaces. - Alexander Menovschikov; Anastasia Molchanova; Luca Scarpa (SIAM J. Math. Anal., 2021)

The Cahn-Hilliard Equation with Forward-Backward Dynamic Boundary Condition via Vanishing Viscosity. - Pierluigi Colli; Takeshi Fukao; Luca Scarpa (SIAM J. Math. Anal., 2022)

Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential. - Abramo Agosti; Elisabetta Rocca; Luca Scarpa (CoRR, 2023)

On a Phase Field Model for RNA-Protein Dynamics. - Maurizio Grasselli; Luca Scarpa; Andrea Signori (SIAM J. Math. Anal., 2023)