Abstract
In this paper, we are interested in Cauchy problem for a parabolic operator. The main system comes from the modeling of a tumor and describes its evolution over time. From the classical optimal control, we show some results and an optimality system for the considered control problem. It is noteworthy that the classical techniques of the optimal control theory are ineffective or are very much technical for certain systems of parabolic evolution. Thus, we address regional controllability by scalability to get around certain difficulties related to estimations. Starting from the solution of the obtained optimality system, we succeeded in establishing the controllability on dynamic subdomains by area-leveling to solve the optimal control problem for this kind of equations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Numerical Methods and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
