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A.I. Prilepko, D.G. Orlovsky, I.V. Vasin (2000)
Monographs and Textbooks in Pure and Applied Mathematics
Michael Vogelius (2013)
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Uravneniya matematicheskoi fiziki
V. Isakov (2006)
Applied Mathematical Sciences
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.
Differential Equations – Springer Journals
Published: Aug 23, 2017
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