18 citations · 26 across the 9 of their papers we have counts for
5 papers · 1 filter
Optimality conditions for sparse optimal control of viscous Cahn-Hilliard systems with logarithmic potential
Pierluigi Colli, Jürgen Sprekels, Fredi Tröltzsch
In this paper we study the optimal control of a parabolic initial-boundary value problem of viscous Cahn-Hilliard type with zero Neumann boundary conditions. Phase field systems of…
Second-order sufficient conditions in the sparse optimal control of a phase field tumor growth model with logarithmic potential
Jürgen Sprekels, Fredi Tröltzsch
This paper treats a distributed optimal control problem for a tumor growth model of viscous Cahn--Hilliard type. The evolution of the tumor fraction is governed by a thermodynamic…
Second-order sufficient conditions for sparse optimal control of singular Allen--Cahn systems with dynamic boundary conditions
Jürgen Sprekels, Fredi Tröltzsch
In this paper we study the optimal control of a parabolic initial-boundary value problem of Allen--Cahn type with dynamic boundary conditions. Phase field systems of this type gove…
Optimal time delays in a class of reaction-diffusion equations
Eduardo Casas, Mariano Mateos, Fredi Tröltzsch
A class of semilinear parabolic reaction diffusion equations with multiple time delays is considered. These time delays and corresponding weights are to be optimized such that the…
Measure Control of a Semilinear Parabolic Equation with a Nonlocal Time Delay
Eduardo Casas, Mariano Mateos, Fredi Tröltzsch
We study a control problem governed by a semilinear parabolic equation. The control is a measure that acts as the kernel of a possibly nonlocal time delay term and the functional i…