Existence and uniqueness results for an inverse problem for a semilinear equation with final overdetermination

2018

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DOI 10.2298/fil1803847s
Data confidence 85 high
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Abstract

In the present paper, unique solvability of a source identification inverse problem for a semilinear equation with a final overdetermination in a Banach space is investigated. Moreover, the first order of accuracy Rothe difference scheme is presented for numerically solving this problem. The existence and uniqueness result for this difference scheme is given. The efficiency of the proposed method is evaluated by means of computational experiments.