On an Inverse Problem of Reconstructing a Heat Conduction Process from Nonlocal Data

On an Inverse Problem of Reconstructing a Heat Conduction Process from Nonlocal Data

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We consider an inverse problem for a one-dimensional heat equation with involution and with periodic boundary conditions with respect to a space variable.This problem simulates the process of heat propagation in a thin closed wire wrapped around a weakly permeable insulation.The inverse Shark Cartilage problem consists in the restoration (simultaneously with the solution) of an unknown right-hand side of the equation, which depends only on the spatial variable.The conditions for redefinition are initial and final states.Existence and uniqueness results for Merchandising/Display Refrigerators the given problem are obtained via the method of separation of variables.