Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth

DOI10.1051/cocv/2020088zbMath1475.35365arXiv2005.02784OpenAlexW3113066312MaRDI QIDQ4999604

Fredi Tröltzsch, Juergen Sprekels

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02784

zbMATH Keywords

optimality conditionssingular potentialssparse optimal controltumor growth models

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17)

Related Items (9)

Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms ⋮ Challenges in optimization with complex PDE-systems. Abstracts from the workshop held February 14--20, 2021 (hybrid meeting) ⋮ Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization ⋮ Optimal control problems with sparsity for tumor growth models involving variational inequalities ⋮ Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term ⋮ Second-order sufficient conditions for sparse optimal control of singular Allen-Cahn systems with dynamic boundary conditions ⋮ Second-Order Sufficient Conditions in the Sparse Optimal Control of a Phase Field Tumor Growth Model with Logarithmic Potential ⋮ Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis ⋮ Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects

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