Browsing by Author "KHELILI , Besma"

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    Regularization methods for a class of ill-posed inverse problems
    (Faculty of Sciences, 2024) BOUSMINA , Ryma; KHELILI , Besma
    In the present memory, we investigate two classes of inverse problems. In the Örst class, we study the inverse problem of identifying the unknown source in the Poisson equation. The second class is devoted to the study of inverse problem for identifying the initial value on the heat equation on the columnar symmetric domain. These problems are ill posed problem in the sense of Hadamard. By using the quasi-boundary value method, we show that the solutions of approximate problems have a stable character as well as their convergences towards to the solutions of the original problems. Moreover, some convergence results are established for the proposed methods.