Existence of solutions and optimal control for a model of tissue invasion by solid tumours.
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2015
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Resumo
In this paper we study the distributed optimal control problem for the two-dimensional mathematical model of cancer invasion. Existence of optimal state-control and stability is proved and an optimality system is derived.
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Fixed point theorem, Optimal control, Tumour invasion of tissue
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ARAÚJO, A. L. A. de; MAGALHÃES, P. M. D. de. Existence of solutions and optimal control for a model of tissue invasion by solid tumours. Journal of Mathematical Analysis and Applications, v. 421, p. 842-877, 2015. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0022247X14006817>. Acesso em: 09 mar. 2015.