Existence of solutions and local null controllability for a model of tissue invasion by solid tumors.

Resumo

In this paper we study the distributed problem for the two-dimensional mathematical model of the invasion of a healthy tissue by a generic solid tumor that has been vascularized, due to coupled parabolic systems. We prove the existence, uniqueness, and local null controllability.

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Leray--Schauder fixed point theorem, Schauder's fixed point theorem, Tumor invasion of tissue

Citação

ARAÚJO, A. L. A. de; MAGALHÃES, P. M. D. de. Existence of solutions and local null controllability for a model of tissue invasion by solid tumors. Siam Journal On Mathematical Analysis, v. 50, n. 4, p. 3598-3631, 2018. Disponível em: <https://epubs.siam.org/doi/abs/10.1137/17M111732X>. Acesso em: 19 mar. 2019.

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