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Lipschitz stability...
Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations
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- Beilina, Larisa, 1970 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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- Cristofol, M. (författare)
- Institut de Mathematiques de Marseille
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- Li, S. (författare)
- University of Science and Technology of China
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- Yamamoto, M. (författare)
- University of Tokyo, Japan
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(creator_code:org_t)
- 2017-12-04
- 2018
- Engelska.
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Ingår i: Inverse Problems. - : IOP Publishing. - 0266-5611 .- 1361-6420. ; 34:1
- Relaterad länk:
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http://arxiv.org/pdf...
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https://gup.ub.gu.se...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We consider an inverse problem of reconstructing two spatially varying coefficients in an acoustic equation of hyperbolic type using interior data of solutions with suitable choices of initial condition. Using a Carleman estimate, we prove Lipschitz stability estimates which ensure unique reconstruction of both coefficients. Our theoretical results are justified by numerical studies on the reconstruction of two unknown coefficients using noisy backscattered data.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- coefficient inverse problem
- Carleman estimate
- an acoustic equation of hyperbolic type
- two space-
- arbitrary boundary observation
- maxwells equations
- logarithmic
- stability
- limited observations
- single measurement
- acoustic equation
- wave-equation
- reconstruction
- uniqueness
- system
- two space-dependent coefficients
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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