Abstract
We consider the stability of a system of two wave equations with only one boundary feedback and we show that the stability of the partially damped system depends on the transmission of energy between the two equations. The study confirms that the hidden regularity is an essential ingredient for the stability property. In particular, using a sharp regularity for Neumann problem of wave equation, we improve the usual results on the energy decay rate. This new approach can certainly be applied to other situations of partially damped systems.
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.
