Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12323/4642
Title: Direct And Inverse Problems For The Heat Equation With A Dynamic Type Boundary Condition
Authors: Kerimov, Nazim B.
Ismailov, Mansur I.
Issue Date: Jun-2013
Citation: Mathematical Physics
Series/Report no.: Vol. 80;№ 5
Abstract: This paper considers the initial-boundary value problem for the heat equation with a dynamic type boundary condition. Under some regularity, consistency and orthogonality conditions, the existence, uniqueness and continuous dependence upon the data of the classical solution are shown by using the generalized Fourier method. This paper also investigates the inverse problem of finding a time-dependent coefficient of the heat equation from the data of integral overdetermination condition.
URI: http://hdl.handle.net/20.500.12323/4642
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