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• W3213454549 abstract "In this work, we consider the problem of identifying the time independent source for full parabolic equations in $mathbb{R}^n$ from noisy data. This is an ill-posed problem in the sense of Hadamard. To compensate the factor that causes the instability, a family of parametric regularization operators is introduced, where the rule to select the value of the regularization parameter is included. This rule, known as regularization parameter choice rule, depends on the data noise level and the degree of smoothness that it is assumed for the source. The proof for the stability and convergence of the regularization criteria is presented and a Holder type bound is obtained for the estimation error. Numerical examples are included to illustrate the effectiveness of this regularization approach." @default.
• W3213454549 created "2021-11-22" @default.
• W3213454549 creator A5006386751 @default.
• W3213454549 date "2021-11-18" @default.
• W3213454549 modified "2023-09-23" @default.
• W3213454549 title "Identification of the Source for Full Parabolic Equations." @default.
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• W3213454549 hasPublicationYear "2021" @default.
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