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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 10-11: Inverse Problems
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Original Articles

Lipschitz stability in an inverse problem for a hyperbolic equation with a finite set of boundary data

M. Bellassoued Faculté des Sciences de Bizerte, Départment des Mathematiques, University of Carthage, Bizerte, TunisiaCorrespondence[email protected]
,
D. Jellali Faculté des Sciences de Bizerte, Départment des Mathematiques, University of Carthage, Bizerte, Tunisia
&
M. Yamamoto Department of Mathematical Sciences, The University of Tokyo, Tokyo, Japan
Pages 1105-1119 | Received 04 Apr 2008, Accepted 06 Jul 2008, Published online: 23 Dec 2008

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Bochra Riahi. (2015) Stability estimate in determination of a coefficient in transmission wave equation by boundary observation. Applicable Analysis 94:12, pages 2478-2516.
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Articles from other publishers (18)

Fikret Gölgeleyen. (2023) The problem of determining multiple coefficients in an ultrahyperbolic equation. Journal of Inverse and Ill-posed Problems 31:6, pages 937-948.
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Hiroshi Takase. (2023) Global Lipschitz stability for inverse problems of wave equations on Lorentzian manifolds. Journal of Differential Equations 372, pages 564-590.
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Shitao Liu, Antonio Pierrottet & Scott Scruggs. (2023) Recover all coefficients in second-order hyperbolic equations from finite sets of boundary measurements * . Inverse Problems 39:10, pages 105009.
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Nikita Novikov & Maxim Shishlenin. (2023) Direct Method for Identification of Two Coefficients of Acoustic Equation. Mathematics 11:13, pages 3029.
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Song-Ren Fu & Peng-Fei Yao. (2023) Inverse Problem for a Structural Acoustic System with Variable Coefficients. The Journal of Geometric Analysis 33:5.
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Billal Elhamza & Abdelhak Hafdallah. (2023) Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method. Boundary Value Problems 2023:1.
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Zifan Jiang & Wensheng Zhang. (2023) Stability of inverse source problem for a transmission wave equation with multiple interfaces of discontinuity. ESAIM: Control, Optimisation and Calculus of Variations 29, pages 38.
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L. Beilina & E. Lindström. 2023. Gas Dynamics with Applications in Industry and Life Sciences. Gas Dynamics with Applications in Industry and Life Sciences 117 141 .
Dmitriy Klyuchinskiy, Nikita Novikov & Maxim Shishlenin. (2021) Recovering Density and Speed of Sound Coefficients in the 2D Hyperbolic System of Acoustic Equations of the First Order by a Finite Number of Observations. Mathematics 9:2, pages 199.
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Soumen Senapati. (2020) Stability estimates for the relativistic Schrödinger equation from partial boundary data. Inverse Problems 37:1, pages 015001.
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Mourad Bellassoued & Yosra Mannoubi. (2020) A partial data inverse problem for the electro-magnetic wave equation and application to the related Borg–Levinson theorem. Inverse Problems 36:11, pages 115001.
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Enrique Fernández-Cara & Faustino Maestre. (2018) An inverse problem in elastography involving Lamé systems. Journal of Inverse and Ill-posed Problems 26:5, pages 589-605.
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Mourad Choulli & Yavar Kian. (2018) Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. Application to the determination of a nonlinear term. Journal de Mathématiques Pures et Appliquées 114, pages 235-261.
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Larisa Beilina, Michel Cristofol & Shumin Li. (2018) Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain. Mathematical Methods in the Applied Sciences 41:5, pages 2012-2030.
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L Beilina, M Cristofol, S Li & M Yamamoto. (2018) Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations. Inverse Problems 34:1, pages 015001.
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L. Beilina, M. Cristofol & S. Li. 2018. Nonlinear and Inverse Problems in Electromagnetics. Nonlinear and Inverse Problems in Electromagnetics 133 145 .
Michel Cristofol, Shumin Li & Eric Soccorsi. (2016) Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary. Mathematical Control and Related Fields 6:3, pages 407-427.
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Enrique Fernández-Cara & Faustino Maestre. (2012) On some inverse problems arising in elastography. Inverse Problems 28:8, pages 085001.
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