Energy decay for variable coefficient viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary

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dc.contributor.authorHao, Jianghao
dc.contributor.authorLv, Mengxian
dc.date.accessioned2021-10-04T19:25:17Z
dc.date.available2021-10-04T19:25:17Z
dc.date.issued2020-09-17
dc.description.abstractIn this article, we study a variable coefficients viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary. By constructing suitable Lyapunov functionals and using the energy compensation method, we prove that under suitable conditions on the initial data and the relaxation function, the energy of the system has an explicit and general decay rate.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationHao, J., & Lv, M. (2020). Energy decay for variable coefficient viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary. <i>Electronic Journal of Differential Equations, 2020</i>(95), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14602
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectVariable coefficients
dc.subjectViscoelastic wave equation
dc.subjectAcoustic boundary conditions
dc.subjectNonlocally reacting boundary
dc.titleEnergy decay for variable coefficient viscoelastic wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary
dc.typeArticle

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