Optimal control problems for a parabolic system inspired by a cancer therapy

  • Mauro Garavello

    University of Milano-Bicocca, Milan, Italy
  • Elena Rossi

    University of Modena and Reggio Emilia, Reggio Emilia, Italy
Optimal control problems for a parabolic system inspired by a cancer therapy cover

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Abstract

In this paper, we consider optimal control problems for a parabolic system modeling a therapy, based on oncolytic viruses, for the glioma brain cancer. Using several techniques typical of functional analysis, we prove the global in time well posedness of the control model, the existence of optimal controls for specific objective functionals, which are natural for cancer therapies, and we derive necessary conditions for optimality.

Cite this article

Mauro Garavello, Elena Rossi, Optimal control problems for a parabolic system inspired by a cancer therapy. Z. Anal. Anwend. (2024), published online first

DOI 10.4171/ZAA/1775