Research Communication | Open Access
Volume 2019 | Communication ID 20
Volume 2019 | Communication ID 20
| New approach to resolve an inverse problem for degenerate hyperbolic equation |
Khouiti Bouchra, Khalid Atifi
Received |
Accepted |
Published |
Dec 07, 2018 |
Dec 31, 2018 |
Mar 01, 2019 |
Abstract: This paper deals with the determination of an initial condition in degenerate hyperbolic equation from final observations. With the aim of reducing the execution time, this inverse problem is solved using an approach based on double regularization: a Tikhonov's regularization and regularization in equation by viscose-elasticity. So, we obtain a sequence of weak solutions of degenerate linear viscose-elastic problems. Firstly, we prove the existence and uniqueness of each term of this sequence. Secondly, we prove the convergence of this sequence to the weak solution of the initial problem. ...