학술논문

Optimal control of a chemotaxis equation arising in angiogenesis
Document Type
article
Source
Mathematics in Engineering, Vol 4, Iss 6, Pp 1-25 (2022)
Subject
chemotaxis
anti-angiogenic therapy
optimal control
Applied mathematics. Quantitative methods
T57-57.97
Language
English
ISSN
2640-3501
Abstract
In this paper we consider an optimal control for an equation that models a crucial step in the tumor development, the angiogenesis. We show the existence of an optimal control, we characterize the optimal control as a solution of the optimality system and we show the uniqueness of the optimal control for short times.