40 citations · 405 across the 53 of their papers we have counts for
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Fréchet differentiability of mild solutions to SPDEs with respect to the initial datum
Carlo Marinelli, Luca Scarpa
We establish n-th order Fréchet differentiability with respect to the initial datum of mild solutions to a class of jump-diffusions in Hilbert spaces. In particular, the coefficien…
Optimal distributed control of a stochastic Cahn-Hilliard equation
Luca Scarpa
We study an optimal distributed control problem associated to a stochastic Cahn-Hilliard equation with a classical double-well potential and Wiener multiplicative noise, where the…
The stochastic viscous Cahn-Hilliard equation: well-posedness, regularity and vanishing viscosity limit
Luca Scarpa
Well-posedness is proved for the stochastic viscous Cahn-Hilliard equation with homogeneous Neumann boundary conditions and Wiener multiplicative noise. The double-well potential i…
Well-posedness of monotone semilinear SPDEs with semimartingale noise
Carlo Marinelli, Luca Scarpa
We prove existence and uniqueness of strong solutions for a class of semilinear stochastic evolution equations driven by general Hilbert space-valued semimartingales, with drift eq…
From nonlocal to local Cahn-Hilliard equation
Stefano Melchionna, Helene Ranetbauer, Luca Scarpa +1
In this paper we prove the convergence of a nonlocal version of the Cahn-Hilliard equation to its local counterpart as the nonlocal convolution kernel is scaled using suitable appr…
Existence and uniqueness of solutions to singular Cahn-Hilliard equations with nonlinear viscosity terms and dynamic boundary conditions
Luca Scarpa
We prove global existence and uniqueness of solutions to a Cahn-Hilliard system with nonlinear viscosity terms and nonlinear dynamic boundary conditions. The problem is highly nonl…