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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


IMPACT FACTOR 2017: 0.941
5-year IMPACT FACTOR: 0.953

CiteScore 2017: 0.91

SCImago Journal Rank (SJR) 2017: 0.461
Source Normalized Impact per Paper (SNIP) 2017: 1.022

Mathematical Citation Quotient (MCQ) 2017: 0.49

Online
ISSN
1569-3945
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Volume 24, Issue 2

Issues

An inverse source problem for a damped wave equation with memory

Lukáš Šeliga / Marián Slodička
Published Online: 2015-01-15 | DOI: https://doi.org/10.1515/jiip-2014-0026

Abstract

Inverse problem of identifying the unknown spacewise dependent source f(x) in a nonlinear damped wave equation with a memory term is investigated. The missing coefficient f(x) is reconstructed from the final time observation u(x,T) = ψT(x). Uniqueness of a solution to the inverse source problem is proved. We also propose a Landweber-type algorithm for reconstruction. Convergence of approximations towards the exact solution is established for a linear equation.

Keywords: Inverse source problem; damped wave equation

MSC: 65M32

About the article

Received: 2014-03-26

Revised: 2014-11-14

Accepted: 2014-12-12

Published Online: 2015-01-15

Published in Print: 2016-04-01


Funding Source: Belgian Science Policy

Award identifier / Grant number: IAP P7/02


Citation Information: Journal of Inverse and Ill-posed Problems, Volume 24, Issue 2, Pages 111–122, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip-2014-0026.

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[1]
Sebastián Acosta and Benjamín Palacios
Journal of Differential Equations, 2017
[2]
K. Van Bockstal and M. Slodička
Inverse Problems in Science and Engineering, 2017, Volume 25, Number 5, Page 749

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