Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93852
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Jin, B | en_US |
dc.creator | Kian, Y | en_US |
dc.creator | Zhou, Z | en_US |
dc.date.accessioned | 2022-08-03T01:23:56Z | - |
dc.date.available | 2022-08-03T01:23:56Z | - |
dc.identifier.issn | 0036-1410 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93852 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2021 Society for Industrial and Applied Mathematics | en_US |
dc.rights | The following publication Jin, B., Kian, Y., & Zhou, Z. (2021). Reconstruction of a space-time-dependent source in subdiffusion models via a perturbation approach. SIAM Journal on Mathematical Analysis, 53(4), 4445-4473 is available at https://doi.org/10.1137/21M1397295 | en_US |
dc.subject | Conditional stability | en_US |
dc.subject | Inverse source problem | en_US |
dc.subject | Reconstruction | en_US |
dc.subject | Subdiffusion | en_US |
dc.subject | Time-dependent coefficient | en_US |
dc.title | Reconstruction of a space-time-dependent source in subdiffusion models via a perturbation approach | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 4445 | en_US |
dc.identifier.epage | 4473 | en_US |
dc.identifier.volume | 53 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.doi | 10.1137/21M1397295 | en_US |
dcterms.abstract | In this article we study two inverse problems of recovering a space-time-dependent source component from the lateral boundary observation in a subdiffusion model. The mathematical model involves a Djrbashian-Caputo fractional derivative of order α ∊ (0, 1) in time, and a second-order elliptic operator with time-dependent coefficients. We establish a well-posedness and a conditional stability result for the inverse problems using a novel perturbation argument and refined regularity estimates of the associated direct problem. Further, we present a numerical algorithm for efficiently and accurately reconstructing the source component, and we provide several two-dimensional numerical results showing the feasibility of the recovery. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on mathematical analysis, 2021, v. 53, no. 4, p. 4445-4473 | en_US |
dcterms.isPartOf | SIAM journal on mathematical analysis | en_US |
dcterms.issued | 2021 | - |
dc.identifier.scopus | 2-s2.0-85113284646 | - |
dc.identifier.eissn | 1095-7154 | en_US |
dc.description.validate | 202208 bcfc | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | AMA-0018 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 50568749 | - |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
21m1397295.pdf | 3.16 MB | Adobe PDF | View/Open |
Page views
47
Last Week
1
1
Last month
Citations as of May 12, 2024
Downloads
65
Citations as of May 12, 2024
SCOPUSTM
Citations
11
Citations as of May 16, 2024
WEB OF SCIENCETM
Citations
10
Citations as of May 16, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.