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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 9
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Original Articles

Lipschitz stability estimates for an inverse source problem in an elliptic equation from interior measurements

A. El BadiaLaboratoire de Mathématiuqes Appliquées de Compiègne, LMAC Laboratory of Applied Mathematics of Compiègne, Sorbonne University Université de Technologie de Compiègne, 60205Compiègne Cedex, France.Correspondence[email protected]
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A. El HajjLaboratoire de Mathématiuqes Appliquées de Compiègne, LMAC Laboratory of Applied Mathematics of Compiègne, Sorbonne University Université de Technologie de Compiègne, 60205Compiègne Cedex, France.View further author information
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M. JazarLaboratoire de Mathématiques Appliquées, Université Libanaise, LaMA-Liban.View further author information
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H. MoustafaLaboratoire de Mathématiuqes Appliquées de Compiègne, LMAC Laboratory of Applied Mathematics of Compiègne, Sorbonne University Université de Technologie de Compiègne, 60205Compiègne Cedex, France.;Laboratoire de Mathématiques Appliquées, Université Libanaise, LaMA-Liban.View further author information
Pages 1873-1890 | Received 26 May 2015, Accepted 16 Jul 2015, Published online: 24 Aug 2015

Citations (5)

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Read on this site (1)

A. El Badia, A. El Hajj, M. Jazar & H. Moustafa. (2018) Logarithmic stability estimates for an inverse source problem from interior measurements. Applicable Analysis 97:2, pages 274-294.
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Articles from other publishers (4)

Zhongjian Wang, Wenlong Zhang & Zhiwen Zhang. (2023) A data-driven model reduction method for parabolic inverse source problems and its convergence analysis. Journal of Computational Physics 487, pages 112156.
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Zhiming Chen, Wenlong Zhang & Jun Zou. (2022) Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems. SIAM Journal on Numerical Analysis 60:2, pages 751-780.
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Abdellatif El Badia, Ahmad El Hajj, Mustapha Jazar & Hayat Moustafa. (2019) Identification of point sources in an elliptic equation from interior measurements: Application to a seawater intrusion problem. Journal of Inverse and Ill-posed Problems 27:4, pages 559-574.
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Daijun Jiang, Hui Feng & Jun Zou. (2018) Quadratic convergence of Levenberg-Marquardt method for elliptic and parabolic inverse robin problems. ESAIM: Mathematical Modelling and Numerical Analysis 52:3, pages 1085-1107.
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