Fury, Matthew2022-01-032022-01-032018-01-19Fury, M. (2018). Logarithmic regularization of non-autonomous non-linear ill-posed problems in Hilbert spaces. <i>Electronic Journal of Differential Equations, 2018</i>(28), pp. 1-11.1072-6691https://hdl.handle.net/10877/15084The 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalNon-linear ill-posed problemBackward heat equationNon-autonomous problemSemigroup of linear operatorsRegularizationArticle