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math.OC2023
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…
math.OC2023
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…