Results 11 to 20 of about 6,620,275 (247)
A Strongly Ill-Posed Problem for the Equation
Cumhuriyet Science Journal, 2018 In this work, we consider an inverse problem for an elliptic equationwhich is strongly ill-posed in Hadamard sense. We prove the uniqueness of thesolution of the problem by using Carleman estimates.
Mustafa Yıldız
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Optimal Control of the Ill-Posed Cauchy Elliptic Problem [PDF]
International Journal of Differential Equations, 2015 We give a characterization of the control for ill-posed problems of oscillating solutions. More precisely, we study the control of Cauchy elliptic problems via a regularization approach which generates incomplete information.
A. Berhail, A. Omrane
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On the ill-posed problem for the Poisson equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 A boundary value problem in a two - dimensional rectangular region for the Poisson equation is studied in the paper. The original ill - posed boundary value problem is transformed to the optimal control problem.
M.T. Jenaliyev +2 more
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A modified quasi-boundary value method for an abstract ill-posed biparabolic problem
Open Mathematics, 2017 In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to ...
Besma Khelili +2 more
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Conditional stability of a solution of a difference scheme for an ill-posed Cauchy problem [PDF]
Electronic Journal of Differential Equations, 2018 In this article, we obtain criteria for stability of two-layer difference schemes for an abstract ill-posed Cauchy problem. Method of proof is based on obtaining a priori difference weighted Carleman type estimates.
Murat A. Sultanov +2 more
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Spectral Regularization Methods for an Abstract Ill-Posed Elliptic Problem [PDF]
Abstract and Applied Analysis, 2013 We study an abstract elliptic Cauchy problem associated with an unbounded self-adjoint positive operator which has a continuous spectrum. It is well-known that such a problem is severely ill-posed; that is, the solution does not depend continuously on ...
Nadjib Boussetila +2 more
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Continuous dependence of solutions for ill-posed evolution problems
Electronic Journal of Differential Equations, 2010 We prove Holder-continuous dependence results for the difference between certain ill-posed and well-posed evolution problems in a Hilbert space. Specifically, given a positive self-adjoint operator D in a Hilbert space, we consider the ill-posed ...
Matthew Fury, Rhonda J. Hughes
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On a time fractional diffusion with nonlocal in time conditions
Advances in Difference Equations, 2021 In this work, we consider a fractional diffusion equation with nonlocal integral condition. We give a form of the mild solution under the expression of Fourier series which contains some Mittag-Leffler functions. We present two new results.
Nguyen Hoang Tuan +3 more
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Approximation of inverse source problem for time fractional pseudo-parabolic equation in $L^p$ [PDF]
Mathematics and Computational Sciences, 2023 In this work, we focus on the final value problem of an inverse problem for the pseudo-parabolic equation. This study aims to provide a regularization method for this equation, once the measurement data are obtained at the final time in $L^{r}(0,\pi ...
Phong Tran, Long Le
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Updating the Landweber Iteration Method for Solving Inverse Problems
Mathematics, 2022 The Landweber iteration method is one of the most popular methods for the solution of linear discrete ill-posed problems. The diversity of physical problems and the diversity of operators that result from them leads us to think about updating the main ...
Hassan K. Ibrahim Al-Mahdawi +4 more
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