4.5 Article

EXISTENCE OF SOLUTIONS AND LOCAL NULL CONTROLLABILITY FOR A MODEL OF TISSUE INVASION BY SOLID TUMORS

Journal

SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 50, Issue 4, Pages 3598-3631

Publisher

SIAM PUBLICATIONS
DOI: 10.1137/17M111732X

Keywords

Leray-Schauder fixed point theorem; Schauder's fixed point theorem; local null controllability; tumor invasion of tissue

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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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