On the stability of inverse problems
Web11 de fev. de 2015 · In this study, we consider reconstruction and stability issues of an inverse nodal problem for a p-Laplacian Schrödinger equation with energy dependent potential. We solve Lipschitz stability of the inverse nodal problem for this p-Laplacian operator. Furthermore, we show that the space of all potential functions q is …
On the stability of inverse problems
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Web23 de jun. de 2024 · Download a PDF of the paper titled Uniqueness and stability of an inverse problem for a semi-linear wave equation, by Matti Lassas and 2 other authors … WebAn inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating an image in X-ray computed tomography, source reconstruction in acoustics, or calculating the density of the Earth from measurements of its gravity field.It is called an inverse problem because it starts with …
WebOutline 1 Motivation: Re ection Seismology 2 Mathematical model: time harmonic case, linearized elasticity, isotropic medium 3 The inverse problem 4 Some history 5 … Web6 de jun. de 2024 · Inverse problems in potential theory are related to problems of the equilibrium shape of a rotating fluid and to problems in geophysics. The central place in studies of inverse problems in potential theory is occupied by the problems of the existence, uniqueness and stability, and also by creating efficient numerical methods for …
Web10 de abr. de 2024 · Abstract: This brief paper investigates the stability and L∞-gain of positive fractional-order singular systems (FOSSs) with time-varying delays. Based on the Drazin inverse of singular matrices, an equivalent auxiliary system is developed to avoid the singularity problem, and a sufficient and necessary criterion ensuring the positivity of … Web9 de mar. de 2024 · Convergence analysis of an optimally accurate frozen multi-level projected steepest descent iteration for solving inverse problems. Authors: Gaurav …
Weband the stability for the inverse source problems. The main purpose of this article is to establish the Lipschitz stability for the above two types of inverse problems, which have not been found in the existing articles. We mainly consider a linearized equation of (1.1), which is formulated as follows. We set ∂i = ∂ ∂xi, 1 ≤ i ≤ d and ...
Web11 de abr. de 2024 · The explosive growth of private “cyber mercenary” companies poses a threat to democracy and human rights around the world. Cyber mercenaries – … curly shoelaces amazonWeb13 de abr. de 2024 · Next we prove the Lipschitz stability for an inverse problem of determining spatially varying factors of source terms and a coefficient by extra boundary data and spatial data at intermediate time. curly shoelaces targetWeb1 de abr. de 2024 · In the present paper, we study the stability of the solution of the inverse problem for Dirac operator ℓ Q. First, we introduce a Riesz basis consisting of vector-valued eigenfunctions of the problem (1) – (2) in a Hilbert space. Then, some properties of the Green’s matrix of the operator are established. curly shoesWeb30 de set. de 2024 · We establish Lipschitz stability properties for a class of inverse problems. In that class, the associated direct problem is formulated by an integral operator Am depending non- linearly on a ... curly shoelaces walmartWebThe work continues a series of articles devoted to the peculiarities of solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection-type with data on the position of the reaction front. In this paper, we place the emphasis on some problems of the numerical solving process. One of the approaches … curly short bobWeb10 de mai. de 2024 · We establish a logarithmic stability estimate for the inverse problem of determining the nonlinear term, appearing in a semilinear boundary value problem, from the corresponding Dirichlet-to-Neumann map. Our result can be seen as a stability inequality for an earlier uniqueness result by Isakov and Sylvester (Commun Pure Appl … curlyshopWebOutline 1 Motivation: Re ection Seismology 2 Mathematical model: time harmonic case, linearized elasticity, isotropic medium 3 The inverse problem 4 Some history 5 Regularization: Unknown parameters are piecewise constant on a nite partition of the background domain 6 Parameter identi cation (given the partition) 7 Quantitative … curly short alt hair