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A Nonlocal Inverse Problem for the Two-Dimensional Heat-Conduction Equation

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We consider an inverse problem of determination of the time-dependent leading coefficient of a two-dimensional heat-conduction equation with nonlocal overdetermination condition. The existence and uniqueness conditions are established for the… Click to show full abstract

We consider an inverse problem of determination of the time-dependent leading coefficient of a two-dimensional heat-conduction equation with nonlocal overdetermination condition. The existence and uniqueness conditions are established for the classical solution of the analyzed problem.

Keywords: inverse problem; two dimensional; heat conduction; conduction equation; dimensional heat; problem

Journal Title: Journal of Mathematical Sciences
Year Published: 2018

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