Lipschitz stability at the boundary for time-harmonic diffuse optical tomography
Sign Up to like & getrecommendations! Published in 2020 at "Applicable Analysis"
DOI: 10.1080/00036811.2020.1758314
Abstract: We study the inverse problem in Optical Tomography of determining the optical properties of a medium $\Omega\subset\mathbb{R}^n$, with $n\geq 3$, under the so-called diffusion approximation. We consider the time-harmonic case where $\Omega$ is probed with… read more here.
Keywords: lipschitz stability; optical tomography; time harmonic;
Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes
Sign Up to like & getrecommendations! Published in 2019 at "Inverse Problems"
DOI: 10.1088/1361-6420/aaf6fc
Abstract: For the linearized reconstruction problem in Electrical Impedance Tomography (EIT) with the Complete Electrode Model (CEM), Lechleiter and Rieder (2008 Inverse Problems 24 065009) have shown that a piecewise polynomial conductivity on a fixed partition… read more here.
Keywords: finitely many; lipschitz stability; electrical impedance; impedance tomography ... See more keywords
Lipschitz Stability for Non-Instantaneous Impulsive Caputo Fractional Differential Equations with State Dependent Delays
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DOI: 10.3390/axioms8010004
Abstract: In this paper, we study Lipschitz stability of Caputo fractional differential equations with non-instantaneous impulses and state dependent delays. The study is based on Lyapunov functions and the Razumikhin technique. Our equations in particular include… read more here.
Keywords: fractional differential; non instantaneous; differential equations; stability ... See more keywords
Lipschitz Stability in Terms of Two Measures for Kurzweil Equations and Applications
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DOI: 10.3390/math11092006
Abstract: For generalized ordinary differential equations, sufficient criteria are given for the Lipschitz stability in terms of two measures of the trivial solutions. As an application, we apply our main results by studying the Lipschitz stability… read more here.
Keywords: two measures; terms two; stability terms; differential equations ... See more keywords