3 papers
math.AP2020
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…
math.AP2020
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…
math.AP2019
On the positivity of local mild solutions to stochastic evolution equations
Carlo Marinelli, Luca Scarpa
We provide sufficient conditions on the coefficients of a stochastic evolution equation on a Hilbert space of functions driven by a cylindrical Wiener process ensuring that its mil…