Final-value problem for a weakly-coupled system of structurally damped waves

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dc.contributor.authorTuan, Nguyen Huy
dc.contributor.authorVo, Van Au
dc.contributor.authorCan, Nguyen
dc.contributor.authorKirane, Mokhtar
dc.date.accessioned2022-02-22T15:41:49Z
dc.date.available2022-02-22T15:41:49Z
dc.date.issued2018-08-07
dc.description.abstractWe consider the final-value problem of a system of strongly-damped wave equations. First of all, we find a solution of the system, then by an example we show the problem is ill-posed. Next, by using a filter method, we propose stable approximate (regularized) solutions. The existence, uniqueness of the corresponding regularized solutions are obtained. Furthermore, we show that the corresponding regularized solutions converge to the exact solutions in L2 uniformly with respect to the space coordinate under some a priori assumptions on the solutions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTuan, N. H., Vo, V. A., Can, N. H., & Kirane, M. (2018). Final-value problem for a weakly-coupled system of structurally damped waves. <i>Electronic Journal of Differential Equations, 2018</i>(149), pp. 1-23.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15398
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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectIll-posed problems
dc.subjectRegularization
dc.subjectSystems of wave equations
dc.subjectError estimate
dc.titleFinal-value problem for a weakly-coupled system of structurally damped waves
dc.typeArticle

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