Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects

DOI10.1137/20M1372093zbMath1461.49060arXiv2010.03767OpenAlexW3092603290MaRDI QIDQ5859528

Harald Garcke, Kei Fong Lam, Andrea Signori

Publication date: 16 April 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03767

zbMATH Keywords

linear elasticitytumor growthoptimality conditionsCahn-Hilliard equationmechanical effectselliptic-parabolic systemsparse optimal control

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Reaction-diffusion equations (35K57) Classical linear elasticity (74B05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Existence theories for optimal control problems involving partial differential equations (49J20) Variational principles of physics (49S05)

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