Liu, ZhiqingGao, CunchenFang, Zhong Bo2022-11-022022-11-022021-12-02Liu, Z., Gao, C., & Fang, Z. B. (2021). Well-posedness and energy decay of a transmission problem of Kirchhoff type wave equations with damping and delay terms. <i>Electronic Journal of Differential Equations, 2021</i>(95), pp. 1-23.1072-6691https://hdl.handle.net/10877/16277We 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.Text23 pages1 file (.pdf)enAttribution 4.0 InternationalTransmission problemKirchhoff type wave equationsDampingDelay termWell-posedDecay estimateArticle