Abstract
Abstract This paper is concerned with the existence and exponential stability of the global solution to a Klein–Gordon equation of Kirchhoff-Carrier type with strong damping − Δ u t and logarithmic source term u l n | u | R 2 . We apply the potential well corresponding to the logarithmic nonlinearity. We prove the global weak solutions and the exponential stability for initial data in the set of stability created from the Nehari Manifold.
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 callMore From: Partial Differential Equations in Applied Mathematics
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.
