Well-Posedness of the Right-Hand Side Identification Problem for a Parabolic Equation

A computational study of the one‐dimensional parabolic equation subject to nonclassical boundary specifications

Mehdi Dehghan · Numerical Methods for Partial Differential Equations · 2005 · 158 citations

Natural Sciences, Computational Engineering, Computational Mechanics +13

Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations

John R. Cannon, Yanping Lin, Shuzhan Xu · Inverse Problems · 1994 · 108 citations · Full text

Natural Sciences, Mathematics, Computational Mechanics +16

ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION

A. I. Prilepko, A. B. Kostin · Sbornik Mathematics · 1993 · 105 citations

Natural Sciences, Mathematics, Differential Equations +16

Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation

Petr N. Vabishchevich · Computer Physics Communications · 2000 · 81 citations

Natural Sciences, Physics, Computational Mechanics +13

Generic well-posedness of an inverse parabolic problem - the Hölder-space approach

Mourad Choulli, Masahiro Yamamoto · Inverse Problems · 1996 · 81 citations

Natural Sciences, Computational Engineering, Finite Element Methods +10