Abstract

We consider the quasi-linear wave equation with non-linear damping and source terms where a, b, α, m, p ≥ 0. In this article, by using the multiplier methods, we give the precise uniform estimation of the decay rate, when the initial data is in the potential well. More precisely, when m = 0, the energy of solution decays exponentially and when m > 0, the energy of solution decays polynomially.

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 call

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.