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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 5
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Articles

Inverse problem for a free transport equation using Carleman estimates

Patricia GaitanAix Marseille Université, CNRS, CPT, UMR 7332, Marseille, France.Correspondence[email protected]
&
Hadjer OuzzaneFaculté de Mathématiques, laboratoire AMNEDP, U.S.T.H.B, Algiers, Algeria.
Pages 1073-1086 | Received 16 Nov 2012, Accepted 14 Jun 2013, Published online: 12 Jul 2013

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Read on this site (2)

Xinchi Huang. (2021) Inverse coefficient problem for a magnetohydrodynamics system by Carleman estimates. Applicable Analysis 100:5, pages 1010-1038.
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Atsushi Kawamoto & Manabu Machida. (2021) Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates. Applicable Analysis 100:4, pages 752-771.
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Articles from other publishers (10)

Dinh Nho Hào, Nguyen Trung Thành, Nguyen Van Duc & Nguyen Van Thang. (2023) A coefficient identification problem for a system of advection-reaction equations in water quality modeling. Computers & Mathematics with Applications 148, pages 126-150.
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Giuseppe Floridia, Hiroshi Takase & Masahiro Yamamoto. (2022) A Carleman estimate and an energy method for a first-order symmetric hyperbolic system. Inverse Problems and Imaging 16:5, pages 1163.
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Giuseppe Floridia & Hiroshi Takase. (2021) Inverse problems for first-order hyperbolic equations with time-dependent coefficients. Journal of Differential Equations 305, pages 45-71.
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Giuseppe Floridia & Hiroshi Takase. (2021) Observability inequalities for degenerate transport equations. Journal of Evolution Equations 21:4, pages 5037-5053.
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Ru-Yu Lai & Qin Li. (2020) Parameter Reconstruction for General Transport Equation. SIAM Journal on Mathematical Analysis 52:3, pages 2734-2758.
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Oleg Yu. Imanuvilov & Masahiro Yamamoto. 2020. Inverse Problems and Related Topics. Inverse Problems and Related Topics 101 148 .
P Cannarsa, G Floridia, F Gölgeleyen & M Yamamoto. (2019) Inverse coefficient problems for a transport equation by local Carleman estimate. Inverse Problems 35:10, pages 105013.
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Piermarco Cannarsa, Giuseppe Floridia & Masahiro Yamamoto. 2019. Trends in Control Theory and Partial Differential Equations. Trends in Control Theory and Partial Differential Equations 69 87 .
Patricia Gaitan & Hadjer Ouzzane. (2017) Stability result for two coefficients in a coupled hyperbolic-parabolic system. Journal of Inverse and Ill-posed Problems 25:3, pages 265-286.
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Fikret Gölgeleyen & Masahiro Yamamoto. (2016) Stability for Some Inverse Problems for Transport Equations. SIAM Journal on Mathematical Analysis 48:4, pages 2319-2344.
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