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Global Carleman estimate for the plate equation and applications to inverse problems

Authors :
Peng Gao
Source :
Electronic Journal of Differential Equations, Vol 2016, Iss 333,, Pp 1-13 (2016)
Publication Year :
2016
Publisher :
Texas State University, 2016.

Abstract

In this article, we establish a Carleman estimate for the plate equation in order to solve an inverse problem retrieving the zeroth-order term for a plate equation from boundary measurements. We prove the local stability result for this inverse problem. Our proof relies on Carleman estimate.

Details

Language :
English
ISSN :
10726691
Volume :
2016
Issue :
333,
Database :
Directory of Open Access Journals
Journal :
Electronic Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
edsdoj.7ee5473203234b01a63e14f6a5200935
Document Type :
article