Well-posedness and energy decay of a transmission problem of Kirchhoff type wave equations with damping and delay terms
DOI:
https://doi.org/10.58997/ejde.2021.95Keywords:
Transmission problem; Kirchhoff type wave equations; damping; delay term; well-posed; decay estimateAbstract
We consider a transmission problem of Kirchhoff type wave equations with delay and damping terms, subject to a memory condition on one part of the boundary. Under appropriate hypotheses on the relaxation function and the relationship between weights of damping and delay terms, we establish well-posedness of the problem. Using the Faedo-Galerkin approximation technique, and introducing suitable energy
and Lyapunov functionals, we obtain estimates for exponential, polynomial, and logarithmic decay.
For more information see https://ejde.math.txstate.edu/Volumes/2021/95/abstr.html
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