Abstract
ABSTRACT We consider the optimal control of general heat governed by an operator depending on an unknown parameter and with missing boundary condition. Using the notion of no-regret and low-regret control, we prove that we can bring the average of the state of our model to a desired state. Then by means of Euler–Lagrange first order optimality condition, we expressed the optimal control in terms of average of an appropriate adjoint state that we characterise by an optimality system. The main tools are the Lebesgue-dominated convergence theorem and an appropriate Hilbert space endowed with a norm containing the average of the state.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
