Abstract
We study the existence of global smooth solutions for the quasi-linear wave equation by an internal local damping when initial data are close to a given equilibrium. Our interest is in studying the structure of the damping region, which guarantees the existence of global solutions. Our results show that the structure of the damping region depends on the geometric properties of a Riemannian metric, based on the coefficients and the equilibrium of the system. Some geometrical conditions are presented to obtain the damping region.
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.
