Results 51 to 60 of about 6,390,993 (306)
On regularization of the Cauchy problem for elliptic systems in weighted Sobolev spaces [PDF]
, 2020 We consider the ill-posed Cauchy problem in a bounded domain D of Rn for an elliptic differential operator A(x,∂) with data on a relatively open subset S of the boundary ∂D.
Шефер, Юлия Львовна +1 more
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Advanced Healthcare Materials, EarlyView.Efficient recovery from traumatic or degenerative diseases is a great challenge, even after all the advancements in bone and cartilage regeneration. Machine learning (ML) algorithms have presented opportunities to enhance these aspects by accurately analyzing imaging data.
Maryam Kamaei +9 more
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Uncertainty in structure dynamics resulting from matrix ill-conditioning
Archives of Acoustics, 2014 In the paper there are discussed certain issues concerning ill-posed problems that frequently appear in inverse problems, modal analysis, acoustics and other methods making use of matrix algebra.
J. IWANIEC
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Tạp chí Khoa họcIn this paper, we first prove that the heat equation backward in time with Neumann and integral boundary conditions is an ill-posed problem. Then, we establish a stability estimate of Hölder type for this ill-posed problem.
Nguyen Van Duc
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Open Mathematics, 2023 In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data.
Cheng Wei, Liu Yi-Liang
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Chemical Strategies for Multistimuli Responsive Dynamic Covalent Materials in Regenerative Medicine
Advanced Healthcare Materials, EarlyView.Multistimuli responsive dynamic covalent materials integrate reversible chemistry with the complex chemical, mechanical, and biochemical cues of regenerative environments. This review highlights chemical strategies based on orthogonal dynamic bonds, multicomponent networks, and hierarchical architectures to regulate mechanics, degradation, and ...
Saurabh Joshi +2 more
wiley +1 more source
Tạp chí Khoa họcIn this paper, we first prove that the heat equation backward in time with Dirichlet and integral boundary conditions is an ill- posed problem. Then, we establish a stability estimate of Hölder type for this ill-posed problem.
Nguyen Van Duc, Phan Hoai Linh
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Boundary Value Problems, 2018 In this paper, we study an inverse initial value problem for the fractional diffusion equation with discrete noise. This problem is ill-posed in the sense of Hadamard.
Fan Yang +3 more
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Regularization of exponentially ill-posed problems
Numerical Functional Analysis and Optimization, 2000 Linear and nonlinear inverse problems which are exponentially ill-posed arise in heat conduction, satellite gradiometry, potential theory and scattering theory. For these problems logarithmic source conditions have natural interpretations whereas standard Holder-type source conditions are far too restrictive.
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Métodos de Maz'ia e Landweber para o problema de Cauchy elíptico [PDF]
, 2015 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2015.Nesta dissertação foi trabalhado o clássico exemplo de problema mal ...
Souza, Mario Luiz Previatti de
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