Abstract

In the present paper, the controllability problem for three dimensional parabolic control systems with nonlinear boundary is discussed. The nonlinear item only satisfies the local Lipschitz condition. The step function is applied to the approximate controllability problem of corresponding linear system and an explicit expression of control is provided. Based on the result of linear systems, the approximate controllability problem of nonlinear systems is solved.

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 call

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.