86 citations · 451 across the 95 of their papers we have counts for
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Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term
Pierluigi Colli, Gianni Gilardi, Elisabetta Rocca +1
The paper treats the problem of optimal distributed control of a Cahn-Hilliard-Oono system in , , with the control located in the mass term and admitti…
Analysis and optimal control theory for a phase field model of Caginalp type with thermal memory
Pierluigi Colli, Andrea Signori, Jürgen Sprekels
A nonlinear extension of the Caginalp phase field system is considered that takes thermal memory into account. The resulting model, which is a first-order approximation of a thermo…
The Cahn-Hilliard equation with forward-backward dynamic boundary condition via vanishing viscosity
Pierluigi Colli, Takeshi Fukao, Luca Scarpa
An asymptotic analysis for a system with equation and dynamic boundary condition of Cahn-Hilliard type is carried out as the coefficient of the surface diffusion acting on the phas…
Optimal control problems with sparsity for phase field tumor growth models involving variational inequalities
Pierluigi Colli, Andrea Signori, Jürgen Sprekels
This paper treats a distributed optimal control problem for a tumor growth model of Cahn-Hilliard type including chemotaxis. The evolution of the tumor fraction is governed by a va…
Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
This paper deals with a general system of equations and conditions arising from a mathematical model of prostate cancer growth with chemotherapy and antiangiogenic therapy that has…