Abstract
In this paper, we study the exact boundarycontrollability for the cubic focusing semilinear wave equation onSchwarzschild black hole background in radially symmetrical case.When the initial data and the finaldata are in the so called potential well, we find that thesufficient condition for the global existence is also sufficient toensure the exact boundary controllability of the problem. Moreover,under the assumption of radial symmetry, our problem is changed toone space dimension case, and then the control time can be that of the linearwave equation.
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.
