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• W2952338995 abstract "We investigate a level-set type method for solving ill-posed problems, with the assumption that the solutions are piecewise, but not necessarily constant functions with unknown level sets and unknown level values. In order to get stable approximate solutions of the inverse problem we propose a Tikhonov-type regularization approach coupled with a level set framework. We prove the existence of generalized minimizers for the Tikhonov functional. Moreover, we prove convergence and stability of the regularized solutions with respect to the noise level, characterizing the level-set approach as a regularization method for inverse problems. We also show the applicability of the proposed level set method in some interesting inverse problems arising in elliptic PDE models. Keywords: Level Set Methods, Regularization, Ill-Posed Problems, Piecewise Non-Constant Coefficients" @default.
• W2952338995 created "2019-06-27" @default.
• W2952338995 creator A5050020639 @default.
• W2952338995 date "2012-07-11" @default.
• W2952338995 modified "2023-09-27" @default.
• W2952338995 title "On a level-set method for ill-posed problems with piecewise non-constant coefficients" @default.
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