Potential reconstruction for a class of hyperbolic systems from incomplete measurements. (12th June 2018)
- Record Type:
- Journal Article
- Title:
- Potential reconstruction for a class of hyperbolic systems from incomplete measurements. (12th June 2018)
- Main Title:
- Potential reconstruction for a class of hyperbolic systems from incomplete measurements
- Authors:
- Carreño, Nicolás
Morales, Roberto
Osses, Axel - Abstract:
- Abstract: In this article, we study the reconstruction of spatially dependent potentials in n coupled hyperbolic equations in cascade from n − 1 components of the solution of the system. More precisely, we prove local uniqueness and Lipschitz stability for this inverse problem. The main tool is a Carleman estimate for a cascade system with missing observations.
- Is Part Of:
- Inverse problems. Volume 34:Number 8(2018:Aug.)
- Journal:
- Inverse problems
- Issue:
- Volume 34:Number 8(2018:Aug.)
- Issue Display:
- Volume 34, Issue 8 (2018)
- Year:
- 2018
- Volume:
- 34
- Issue:
- 8
- Issue Sort Value:
- 2018-0034-0008-0000
- Page Start:
- Page End:
- Publication Date:
- 2018-06-12
- Subjects:
- inverse problem -- Carleman estimates -- potential reconstruction -- cascade hyperbolic systems
Inverse problems (Differential equations) -- Periodicals
515.357 - Journal URLs:
- http://iopscience.iop.org/0266-5611 ↗
http://ioppublishing.org/ ↗ - DOI:
- 10.1088/1361-6420/aac6a9 ↗
- Languages:
- English
- ISSNs:
- 0266-5611
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 11428.xml