Abstract
For a hyperbolic equation, we consider an inverse coefficient problem in which the unknown coefficient occurs in both the equation and the initial condition. The solution values on a given curve serve as additional information for determining the unknown coefficient. We suggest an iterative method for solving the inverse problem based on reduction to a nonlinear operator equation for the unknown coefficient and prove the uniform convergence of the iterations to a function that is a solution of the inverse problem.
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Original Russian Text © A.M. Denisov, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 7, pp. 943–949.
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Denisov, A.M. Iterative method for solving an inverse coefficient problem for a hyperbolic equation. Diff Equat 53, 916–922 (2017). https://doi.org/10.1134/S0012266117070084
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DOI: https://doi.org/10.1134/S0012266117070084