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 language||English (US)|
|Journal||Electronic Journal of Differential Equations|
|State||Published - Jan 19 2018|
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