86 citations · 145 across the 22 of their papers we have counts for
21 papers · 1 filter
Well-posedness and regularity for a fractional tumor growth model
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we study a system of three evolutionary operator equations involving fractional powers of selfadjoint, monotone, unbounded, linear operators having compact resolvent…
Longtime behavior for a generalized Cahn-Hilliard system with fractional operators
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this contribution, we deal with the longtime behavior of the solutions to the fractional variant of the Cahn-Hilliard system, with possibly singular potentials, that we have rec…
Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
The paper arXiv:1804.11290 contains well-posedness and regularity results for a system of evolutionary operator equations having the structure of a Cahn-Hilliard system. The operat…
Well-posedness and regularity for a generalized fractional Cahn-Hilliard system
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we investigate a rather general system of two operator equations that has the structure of a viscous or nonviscous Cahn--Hilliard system in which nonlinearities of d…
Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a `deep quench' approach
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn-Hilliard system with dynamic boundary conditions. Such systems govern phase separa…
Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn-Hilliard system with dynamic boundary conditions. Such systems govern phase separa…