Abstract
We consider the Euler–Bernoulli plate equation in a bounded open set Ω of R 2 with a degenerated local damping term. This dissipation is effective in a subset ω of Ω and the damping coefficient may vanish in some subset of dimension one of ω. We show that the usual observability inequality for the undamped problem implies polynomial decay estimates for the damped problem. Our method can be applied for other PDE's such as the wave equation or the Schrödinger 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.
