The problem of determining an unknown source in the heat equation with the ill-posed nature is considered in this paper. Applying Tikhonov's regularization approach, we develop a procedure to find an approximate stable solution to the unknown source/sink term from the overspecified data.
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Dou, Fang-Fang
Fu, Chu-Li
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Fu, Chu-Li
Yang, Fan
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
机构:
Changsha Univ Sci & Technol, Dept Math, Changsha, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China
Liu, Jinbo
Wang, Baiyu
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Cent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China
Wang, Baiyu
Liu, Zhenhai
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Cent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha, Hunan, Peoples R China