Pierluigi Colli

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 14

Top Topics

Poisson Equation

Karush Kuhn Tucker

Prostate Cancer

Top Venues

SIAM J. Control. Optim.

SIAM J. Math. Anal.

J. Optim. Theory Appl.

Publications

Pierluigi Colli, Gianni Gilardi, Andrea Signori, Jürgen Sprekels
Curvature Effects in Pattern Formation: Well-Posedness and Optimal Control of a Sixth-Order Cahn-Hilliard Equation. SIAM J. Math. Anal. 56 (4) (2024)
Abramo Agosti, Pierluigi Colli, Harald Garcke, Elisabetta Rocca
A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains. CoRR (2023)
Pierluigi Colli, Andrea Signori, Jürgen Sprekels
Optimal Control Problems with Sparsity for Tumor Growth Models Involving Variational Inequalities. J. Optim. Theory Appl. 194 (1) (2022)
Pierluigi Colli, Takeshi Fukao, Luca Scarpa
The Cahn-Hilliard Equation with Forward-Backward Dynamic Boundary Condition via Vanishing Viscosity. SIAM J. Math. Anal. 54 (3) (2022)
Pierluigi Colli, Andrea Signori
Boundary control problem and optimality conditions for the Cahn-Hilliard equation with dynamic boundary conditions. Int. J. Control 94 (7) (2021)
Pierluigi Colli, Gianni Gilardi, Ionut Munteanu
Stabilisation of a linearised Cahn-Hilliard system for phase separation by proportional boundary feedbacks. Int. J. Control 94 (2) (2021)
Pierluigi Colli, Héctor Gómez, Guillermo Lorenzo, Gabriela Marinoschi, Alessandro Reali, Elisabetta Rocca
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth. CoRR (2020)
Pierluigi Colli, Héctor Gómez, Guillermo Lorenzo, Gabriela Marinoschi, Alessandro Reali, Elisabetta Rocca
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. CoRR (2019)
Pierluigi Colli, Gianni Gilardi
Well-posedness, regularity and asymptotic analyses for a fractional phase field system. Asymptot. Anal. 114 (1-2) (2019)
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
Optimal Velocity Control of a Viscous Cahn-Hilliard System with Convection and Dynamic Boundary Conditions. SIAM J. Control. Optim. 56 (3) (2018)
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
Global Existence for a Nonstandard Viscous Cahn-Hilliard System with Dynamic Boundary Condition. SIAM J. Math. Anal. 49 (3) (2017)
Viorel Barbu, Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi, Elisabetta Rocca
Sliding Mode Control for a Nonlinear Phase-Field System. SIAM J. Control. Optim. 55 (3) (2017)
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
Constrained Evolution for a Quasilinear Parabolic Equation. J. Optim. Theory Appl. 170 (3) (2016)
Pierluigi Colli, Luca Scarpa
From the viscous Cahn-Hilliard equation to a regularized forward-backward parabolic equation. Asymptot. Anal. 99 (3-4) (2016)
Pierluigi Colli, Jürgen Sprekels
Optimal Control of an Allen-Cahn Equation with Singular Potentials and Dynamic Boundary Condition. SIAM J. Control. Optim. 53 (1) (2015)
Pierluigi Colli, M. Hassan Farshbaf-Shaker, Gianni Gilardi, Jürgen Sprekels
Optimal Boundary Control of a Viscous Cahn-Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials. SIAM J. Control. Optim. 53 (4) (2015)
Giacomo Canevari, Pierluigi Colli
Convergence properties for a generalization of the Caginalp phase field system. Asymptot. Anal. 82 (1-2) (2013)
Pierluigi Colli, Philippe Laurençot
A Phase-Field Approximation of the Willmore Flow with Volume and Area Constraints. SIAM J. Math. Anal. 44 (6) (2012)
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli, Jürgen Sprekels
Well-posedness and Long-time Behavior for a Nonstandard Viscous Cahn-Hilliard System. SIAM J. Appl. Math. 71 (6) (2011)