Final-value problem for a weakly-coupled system of structurally damped waves
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Date
2018-08-07
Authors
Tuan, Nguyen Huy
Vo, Van Au
Can, Nguyen
Kirane, Mokhtar
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Ill-posed problems, Regularization, Systems of wave equations, Error estimate
Citation
Tuan, 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.
Rights
Attribution 4.0 International