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Uniqueness, stabili...
Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem
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- Beilina, Larisa, 1970 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Cristofol, M. (författare)
- Aix-Marseille Université,Aix Marseille University
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- Li, Shumin (författare)
- University of Science and Technology of China
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(creator_code:org_t)
- 2018-07-20
- 2018
- Engelska.
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Ingår i: Springer Proceedings in Mathematics and Statistics. - Cham : Springer International Publishing. - 2194-1017 .- 2194-1009. ; 243, s. 133-145
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Abstract
Ämnesord
Stäng
- This paper is devoted to the reconstruction of the time and space-dependent coefficient in an inverse hyperbolic problem in a bounded domain. Using a local Carleman estimate we prove the uniqueness and a Hölder stability in the determination of the conductivity by a single measurement on the lateral boundary. Our numerical examples show possibility of the determination of the location and the large contrast of the space-dependent function in three dimensions.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Inverse problem
- Infinite domain
- Hyperbolic equation
- Time and space-dependent coefficient
- Carleman estimate
Publikations- och innehållstyp
- kon (ämneskategori)
- ref (ämneskategori)
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