Well-posedness and energy decay of a transmission problem of Kirchhoff type wave equations with damping and delay terms

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dc.contributor.authorLiu, Zhiqing
dc.contributor.authorGao, Cunchen
dc.contributor.authorFang, Zhong Bo
dc.date.accessioned2022-11-02T14:49:41Z
dc.date.available2022-11-02T14:49:41Z
dc.date.issued2021-12-02
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLiu, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16277
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectTransmission problem
dc.subjectKirchhoff type wave equations
dc.subjectDamping
dc.subjectDelay term
dc.subjectWell-posed
dc.subjectDecay estimate
dc.titleWell-posedness and energy decay of a transmission problem of Kirchhoff type wave equations with damping and delay terms
dc.typeArticle

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