ITM Web Conf.
Volume 20, 2018International Conference on Mathematics (ICM 2018) Recent Advances in Algebra, Numerical Analysis, Applied Analysis and Statistics
|Number of page(s)
|Numerical and Applied Analysis
|12 October 2018
On inverse problem for a class of fourth order strongly damped wave equations
Department of Scientific Research Management, Thu Dau Mot University, Ho Chi Minh City, Binh Duong Province, Viet Nam
2 Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
3 Faculty of General Sciences, Can Tho University of Technology, Can Tho City, Viet Nam
4 Faculty of Applied Mathematics, Sai Gon University, Ho Chi Minh City, Viet Nam
In this paper, we study the initial inverse problem for a class of fourth order strongly damped linear wave equations. In the beginning, we show that the problem is ill-posed in the sense of Hadamard. Next, we propose the method called: the Fourier truncation method for stabilizing the problem. Convergence estimates are established under a priori regularity assumptions on the problem data.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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