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The inverse problem for the heat equation with reflection of the argument and with a complex coefficient
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The inverse problem for the heat equation with reflection of the argument and with a complex coefficient
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Journal Article
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient
2022
Overview
The paper is devoted to finding a solution and restoring the right-hand side of the heat equation with reflection of the argument in the second derivative, with a complex-valued variable coefficient. We prove a theorem on the Riesz basis property for eigenfunctions of the second-order differential operator with involution in the second derivative. We establish the existence and uniqueness of the solution of the studied problems by the method of separation of variables
Publisher
Hindawi Limited
