Tuan, NH, Nguyen, DV, Au, VV et al. (1 more author) (2017) Recovering the initial distribution for strongly damped wave equation. Applied Mathematics Letters, 73. pp. 69-77. ISSN 0893-9659
Abstract
We study for the first time the inverse backward problem for the strongly damped wave equation. First, we show that the problem is severely ill-posed in the sense of Hadamard. Then, under the a priori assumption on the exact solution belonging to a Gevrey space, we propose the Fourier truncation method for stabilizing the ill-posed problem. A stability estimate of logarithmic type is established.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 Elsevier Ltd. This is an author produced version of a paper published in Applied Mathematics Letters. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Fourier regularization method; Final value problem; Strongly damped wave equation |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 Apr 2017 11:52 |
Last Modified: | 19 Oct 2018 00:38 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.aml.2017.04.014 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:115209 |