![](/images/graphics-bg.png)
On a Hyperbolic Coefficient Inverse Problem via Partial Dynamic Boundary Measurements
Joint Authors
Douady, Diane Manuel
Daveau, Christian
Khelifi, Abdessatar
Source
Journal of Applied Mathematics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper is devoted to the identification of the unknown smooth coefficient c entering the hyperbolic equation c(x)∂t2u−Δu=0 in a bounded smooth domain in ℝd from partial (on part of the boundary) dynamic boundary measurements.
In this paper, we prove that the knowledge of the partial Cauchy data for this class of hyperbolic PDE on any open subset Γ of the boundary determines explicitly the coefficient c provided that c is known outside a bounded domain.
Then, through construction of appropriate test functions by a geometrical control method, we derive a formula for calculating the coefficient c from the knowledge of the difference between the local Dirichlet-to-Neumann maps.
American Psychological Association (APA)
Daveau, Christian& Douady, Diane Manuel& Khelifi, Abdessatar. 2010. On a Hyperbolic Coefficient Inverse Problem via Partial Dynamic Boundary Measurements. Journal of Applied Mathematics،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-480863
Modern Language Association (MLA)
Daveau, Christian…[et al.]. On a Hyperbolic Coefficient Inverse Problem via Partial Dynamic Boundary Measurements. Journal of Applied Mathematics No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-480863
American Medical Association (AMA)
Daveau, Christian& Douady, Diane Manuel& Khelifi, Abdessatar. On a Hyperbolic Coefficient Inverse Problem via Partial Dynamic Boundary Measurements. Journal of Applied Mathematics. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-480863
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480863