86 citations · 145 across the 22 of their papers we have counts for
5 papers · 1 filter
Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In this paper, we study a model for phase segregation taking place in a spatial domain that was introduced by Podio-Guidugli in Ric. Mat. 55 (2006), pp. 105-118. The model consists…
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
This paper is concerned with a distributed optimal control problem for a nonlocal phase field model of Cahn-Hilliard type, which is a nonlocal version of a model for two-species ph…
Constrained evolution for a quasilinear parabolic equation
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels
In the present contribution, a feedback control law is studied for a quasilinear parabolic equation. First, we prove the well-posedness and some regularity results for the Cauchy-N…
Optimal distributed control of a diffuse interface model of tumor growth
Pierluigi Colli, Gianni Gilardi, Elisabetta Rocca +1
In this paper, a distributed optimal control problem is studied for a diffuse interface model of tumor growth which was proposed in [A. Hawkins-Daruud, K.G. van der Zee, J.T. Oden,…
A new type of identification problems: optimizing the fractional order in a nonlocal evolution equation
Jürgen Sprekels, Enrico Valdinoci
In this paper, we consider a rather general linear evolution equation of fractional type, namely a diffusion type problem in which the diffusion operator is the th power of a po…