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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 5: Inverse Problems
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Original Articles

Inverse heat source problem from time distributing overdetermination

Kenichi Sakamoto Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan
&
Masahiro Yamamoto Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, JapanCorrespondence[email protected]
Pages 735-748 | Received 17 Dec 2008, Published online: 22 Jul 2009

Citations (12)

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Zhengqiang Zhang & Yuan-Xiang Zhang. (2022) A fast iterative method for identifying the radiogenic source for the helium production-diffusion equation. Applied Mathematics in Science and Engineering 30:1, pages 521-540.
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Salih Tatar & Süleyman Ulusoy. (2015) An inverse source problem for a one-dimensional space–time fractional diffusion equation. Applicable Analysis 94:11, pages 2233-2244.
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Articles from other publishers (10)

Jin Wen, Zhi-Yuan Li & Yong-Ping Wang. (2023) Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method. Advances in Computational Mathematics 49:6.
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Mengmeng Zhang, Qianxiao Li & Jijun Liu. (2023) On stability and regularization for data-driven solution of parabolic inverse source problems. Journal of Computational Physics 474, pages 111769.
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Jie Mei & Miao Li. (2022) Abstract fractional inverse source problem of order $$0<\alpha <1$$ in a Banach space. Fractional Calculus and Applied Analysis 26:1, pages 276-304.
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A. Oulmelk, M. Srati & L. Afraites. 2023. New Trends of Mathematical Inverse Problems and Applications. New Trends of Mathematical Inverse Problems and Applications 1 16 .
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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T Wei, X L Li & Y S Li. (2016) An inverse time-dependent source problem for a time-fractional diffusion equation. Inverse Problems 32:8, pages 085003.
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Charyyar Ashyralyyev. Well-posedness of a fourth order of accuracy difference scheme for the Neumann type overdetermined elliptic problem. Well-posedness of a fourth order of accuracy difference scheme for the Neumann type overdetermined elliptic problem.
Wenyan Wang, Masahiro Yamamoto & Bo Han. (2014) Two-dimensional parabolic inverse source problem with final overdetermination in reproducing kernel space. Chinese Annals of Mathematics, Series B 35:3, pages 469-482.
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Gang Bao, Todd A. Ehlers & Peijun Li. (2015) Radiogenic Source Identification for the Helium Production-Diffusion Equation. Communications in Computational Physics 14:1, pages 1-20.
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Charyyar Ashyralyyev & Mutlu Dedeturk. (2013) Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination. Abstract and Applied Analysis 2013, pages 1-11.
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