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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 10
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Original Articles

Lipschitz stability for a hyperbolic inverse problem by finite local boundary data

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Pages 1219-1243 | Received 31 Mar 2006, Published online: 04 Jan 2007

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Rohit Kumar Mishra & Manmohan Vashisth. (2021) Determining the time-dependent matrix potential in a wave equation from partial boundary data. Applicable Analysis 100:16, pages 3492-3508.
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Mourad Bellassoued & Hajer Benjoud. (2008) Stability estimate for an inverse problem for the wave equation in a magnetic field. Applicable Analysis 87:3, pages 277-292.
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Imen Rassas. (2023) Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set. Journal of Inverse and Ill-posed Problems 0:0.
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Soumen Senapati & Manmohan Vashisth. (2022) Stability estimate for a partial data inverse problem for the convection-diffusion equation. Evolution Equations and Control Theory 11:5, pages 1681.
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Giovanni S. Alberti & Matteo Santacesaria. (2021) Infinite-Dimensional Inverse Problems with Finite Measurements. Archive for Rational Mechanics and Analysis 243:1, pages 1-31.
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Snezhana Hristova, Stepan Tersian & Radoslava Terzieva. (2021) Lipschitz Stability in Time for Riemann–Liouville Fractional Differential Equations. Fractal and Fractional 5:2, pages 37.
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Ravi Agarwal, Snezhana Hristova & Donal O’Regan. (2021) Lyapunov Functions and Lipschitz Stability for Riemann–Liouville Non-Instantaneous Impulsive Fractional Differential Equations. Symmetry 13:4, pages 730.
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Mourad Bellassoued & Oumaima Ben Fraj. (2021) Stably determining time-dependent convection–diffusion coefficients from a partial Dirichlet-to-Neumann map. Inverse Problems 37:4, pages 045011.
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Houcine Meftahi. (2021) Uniqueness, Lipschitz Stability, and Reconstruction for the Inverse Optical Tomography Problem. SIAM Journal on Mathematical Analysis 53:6, pages 6326-6354.
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Bastian Harrach. (2020) Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem. Numerische Mathematik 147:1, pages 29-70.
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Bastian Harrach & Yi-Hsuan Lin. (2020) Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability. SIAM Journal on Mathematical Analysis 52:1, pages 402-436.
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Fadhel Jday & Ridha Mdimagh. (2019) Uniqueness result for a fractional diffusion coefficient identification problem. Boundary Value Problems 2019:1.
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Mourad Bellassoued & Yosra Boughanja. (2019) Recovery of coefficients in the linear Boltzmann equation. Journal of Mathematical Physics 60:11.
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Yavar Kian & Lauri Oksanen. (2019) Recovery of Time-Dependent Coefficient on Riemannian Manifold for Hyperbolic Equations. International Mathematics Research Notices 2019:16, pages 5087-5126.
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Bastian Harrach. (2019) Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes. Inverse Problems 35:2, pages 024005.
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Ali Feizmohammadi & Yavar Kian. (2019) Recovery of Nonsmooth Coefficients Appearing in Anisotropic Wave Equations. SIAM Journal on Mathematical Analysis 51:6, pages 4953-4976.
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Bastian Harrach & Houcine Meftahi. (2019) Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem. SIAM Journal on Applied Mathematics 79:2, pages 525-550.
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Nicolás Carreño, Roberto Morales & Axel Osses. (2018) Potential reconstruction for a class of hyperbolic systems from incomplete measurements. Inverse Problems 34:8, pages 085005.
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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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D. G. Orlovsky & S. I. Piskarev. (2018) On Approximation of Coefficient Inverse Problems for Differential Equations in Functional Spaces. Journal of Mathematical Sciences 230:6, pages 823-906.
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Y. Kian, L. Oksanen, E. Soccorsi & M. Yamamoto. (2018) Global uniqueness in an inverse problem for time fractional diffusion equations. Journal of Differential Equations 264:2, pages 1146-1170.
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Dmitriy S. Anikonov, Yaroslav A. Kipriyanov & Dina S. Konovalova. (2017) An inverse problem for the equation of membrane's vibration. St. Petersburg Polytechnical University Journal: Physics and Mathematics 3:3, pages 231-238.
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Yavar Kian. (2017) Unique determination of a time-dependent potential for wave equations from partial data. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34:4, pages 973-990.
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Mourad Bellassoued & Ibtissem Ben Aïcha. (2017) Stable determination outside a cloaking region of two time-dependent coefficients in an hyperbolic equation from Dirichlet to Neumann map. Journal of Mathematical Analysis and Applications 449:1, pages 46-76.
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Kaïs Ammari, Mourad Choulli & Faouzi Triki. (2016) Determining the potential in a wave equation without a geometric condition. Extension to the heat equation. Proceedings of the American Mathematical Society 144:10, pages 4381-4392.
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Yavar Kian. (2016) Stability in the determination of a time-dependent coefficient for wave equations from partial data. Journal of Mathematical Analysis and Applications 436:1, pages 408-428.
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Yavar Kian. (2016) Recovery of Time-Dependent Damping Coefficients and Potentials Appearing in Wave Equations from Partial Data. SIAM Journal on Mathematical Analysis 48:6, pages 4021-4046.
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Ibtissem Ben Aïcha. (2015) Stability estimate for a hyperbolic inverse problem with time-dependent coefficient. Inverse Problems 31:12, pages 125010.
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Yavar Kian. (2014) Stability of the determination of a coefficient for wave equations in an infinite waveguide. Inverse Problems & Imaging 8:3, pages 713-732.
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Mourad Bellassoued, Mourad Choulli & Masahiro Yamamoto. (2011) Stability estimate for a multidimensional inverse spectral problem with partial spectral data. Journal of Mathematical Analysis and Applications 378:1, pages 184-197.
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Mourad Bellassoued & David Dos Santos Ferreira. (2011) Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map. Inverse Problems & Imaging 5:4, pages 745-773.
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Hajer Ben Joud. (2010) Stability estimate for an inverse problem for the electro-magnetic wave equation and spectral boundary value problem. Inverse Problems 26:8, pages 085016.
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Mourad Bellassoued & Mourad Choulli. (2010) Stability estimate for an inverse problem for the magnetic Schrödinger equation from the Dirichlet-to-Neumann map. Journal of Functional Analysis 258:1, pages 161-195.
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Mourad Bellassoued, Mourad Choulli & Masahiro Yamamoto. (2009) Stability estimate for an inverse wave equation and a multidimensional Borg–Levinson theorem. Journal of Differential Equations 247:2, pages 465-494.
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M. Bellassoued, D. Jellali & M. Yamamoto. (2008) Stability estimate for the hyperbolic inverse boundary value problem by local Dirichlet-to-Neumann map. Journal of Mathematical Analysis and Applications 343:2, pages 1036-1046.
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