86 citations · 145 across the 22 of their papers we have counts for
25 papers
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…
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…
Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth
Jürgen Sprekels, Fredi Tröltzsch
In this paper, we study an optimal control problem for a nonlinear system of reaction-diffusion equations that constitutes a simplified and relaxed version of a thermodynamically c…
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…