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

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, uniquenes...

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Bibliographic Details
Main Authors: Nguyen Huy Tuan, Vo Van Au, Nguyen Huu Can, Mokhtar Kirane
Format: Article
Language:English
Published: Texas State University 2018-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/149/abstr.html