Existence of solutions and optimal control for a model of tissue invasion by solid tumours

de Araujo, Anderson L. A.; de Magalhaes, Paulo M. D.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Existence of solutions and optimal control for a model of tissue invasion by solid tumours

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Author(s):	de Araujo, Anderson L. A. ^[1] ; de Magalhaes, Paulo M. D. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Fed Vicosa, Dept Matemat, Vicosa, MG - Brazil ^[2] Univ Fed Ouro Preto, Dept Matemat, Ouro Preto, MG - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Mathematical Analysis and Applications; v. 421, n. 1, p. 842-877, JAN 1 2015.
Web of Science Citations:	7
Abstract
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. (c) 2014 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	13/22328-8 - Coincidence theorems and applications in differentials equations.
Grantee:	Anderson Luis Albuquerque de Araujo
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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