Logarithmic regularization of non-autonomous non-linear ill-posed problems in hilbert spaces

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Abstract

The regularization of non-autonomous non-linear ill-posed problems is established using a logarithmic approximation originally proposed by Boussetila and Rebbani, and later modified by Tuan and Trong. We first prove continuous dependence on modeling where the solution of the original ill-posed problem is estimated by the solution of an approximate well-posed problem. Finally, we illustrate the convergence via numerical experiments in L2 spaces.

Original languageEnglish (US)
Article number28
JournalElectronic Journal of Differential Equations
Volume2018
Publication statusPublished - Jan 19 2018

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All Science Journal Classification (ASJC) codes

  • Analysis

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