Two dimensional determination of source terms in linear parabolic equation from the final overdetermination

DOI10.1186/s13662-015-0401-2zbMath1375.35635OpenAlexW2099883724WikidataQ59435695 ScholiaQ59435695MaRDI QIDQ738749

Xiu-Jin Miao, Zhen-Hai Liu

Publication date: 5 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0401-2

zbMATH Keywords

cost functionalsteepest descent methodtwo dimensional determination

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23) Inverse problems in optimal control (49N45)

Related Items (3)

Exact controllability for a one-dimensional wave equation with the fixed endpoint control ⋮ The wave equation with internal control in non-cylindrical domains ⋮ The wave equation with locally distributed control in non-cylindrical domain

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