40 citations · 405 across the 53 of their papers we have counts for
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An extended variational theory for nonlinear evolution equations via modular spaces
Alexander Menovschikov, Anastasia Molchanova, Luca Scarpa
We propose an extension of the classical variational theory of evolution equations that accounts for dynamics also in possibly non-reflexive and non-separable spaces. The pivoting…
Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis
Elisabetta Rocca, Luca Scarpa, Andrea Signori
We introduce the problem of parameter identification for a coupled nonlocal Cahn-Hilliard-reaction-diffusion PDE system stemming from a recently introduced tumor growth model. The…
An alternative proof of well-posedness of stochastic evolution equations in the variational setting
Carlo Marinelli, Luca Scarpa, Ulisse Stefanelli
We present a new proof of well-posedness of stochastic evolution equations in variational form, relying solely on a (nonlinear) infinite-dimensional approximation procedure rather…
Doubly nonlinear stochastic evolution equations II
Luca Scarpa, Ulisse Stefanelli
Complementing the analysis in [41], we investigate the well-posedness of SPDEs problems of doubly nonlinear type. These arise ubiquitously in the modelization of dissipative media…
Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation
Luca Scarpa
A Cahn-Hilliard equation with stochastic multiplicative noise and a random convection term is considered. The model describes isothermal phase-separation occurring in a moving flui…
Stochastic PDEs via convex minimization
Luca Scarpa, Ulisse Stefanelli
We prove the applicability of the Weighted Energy-Dissipation (WED) variational principle [50] to nonlinear parabolic stochastic partial differential equations in abstract form. Th…