Abstract
In this work we design an explicit random deterministic, finite-dimensional stabilizing boundary feedback to the null solution for the heat equation with noise perturbation. The simple form of the feedback allows us to write the solution of the corresponding closed-loop equation in a mild formulation via a kernel and use some techniques from the existing literature in order to show the stability of it. As far as we know, the present work is the first result on boundary feedback stabilization for stochastic parabolic-type equations, with the stability guaranteed independent of how large the level of the noise is.
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.
