On the stability of inverse problems

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August undefined, 2024

Web10 de abr. de 2024 · Introduction. This paper is concerned with a nonlinear inverse scattering problem for the Schrödinger equation in two dimensions. Let e i κ x ⋅ d be an incident plane wave with incident direction d ∈ S.Consider the scattering problem modeled by the nonlinear Schrödinger equation in a homogeneous background medium in two … Web11 de jul. de 2024 · We consider the non-self-adjoint Sturm–Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenvalues and generalized weight numbers. We prove local solvability and stability of this inverse problem, relying on the method of spectral mappings. Possible …

On the stability of an inverse problem for the wave equation

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 … curb your enthusiasm breck denny

Stability for an Inverse Source Problem of the Biharmonic …

Web29 de set. de 2005 · We treat the stability issue for an inverse problem arising from non-destructive evaluation by thermal imaging. We consider the determination of an unknown portion of the boundary of a thermic conducting body by overdetermined boundary data for a parabolic initial-boundary value problem. We obtain that when the unknown part of the … 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 … WebInverse Problems Lecture notes, Michaelmas term 2024 University of Cambridge Hanne Kekkonen and Yury Korolev ... (Stability) The direct or forward problem is assumed to … easy driving school bronx

Stability of direct and inverse scattering problems for the self ...

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Web1 de jan. de 2007 · Stability estimates for a plate problem were studied in Gao 15 and Wang, 16 the Lipschitz stability for a Kirchhoff plate equation was obtained in Yuan and Yamamoto, 17 and inverse source problems ... easy driving school llc dba drivers edWebIn this paper, stability results on the inverse random source scattering problems are shown for the one-dimensional Helmholtz equation in a multi-layered medium, where the source function is driven by a spatial Brownian motion. The statistical properties of the random source including expectation and variance are reconstructed from physically … curb your enthusiasm australia

"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

On the stability of inverse problems

On the seismic inverse problem: uniqueness, stability and …

WebIn this paper, a stability result on an inverse source scattering problem is shown for Helmholtz equation in a multi-layered medium. The stability estimate consists of a … Web16 de jul. de 2024 · [14] Li P, Yuan G and Yuan G 2024 Increasing stability for the inverse source scattering problem with multi-frequencies Inverse Problems Imaging 11 745–59. Go to reference in article Crossref Google Scholar [15] Li P, Zhai J and Zhao Y 2024 Stability for the acoustic inverse source problem in inhomogeneous media SIAM J. …

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Web23 de mar. de 2024 · Abstract. In this paper, two new existence theorems of solutions to inverse variational and quasi-variational inequality problems are proved using the Fan … WebD. Hào, Le Thi Thu Giang, S. Kabanikhin, M. Shishlenin. Mathematics. Journal of Inverse and Ill-posed Problems. 2024. Abstract We introduce the concept of very weak solution to a Cauchy problem for elliptic equations. The Cauchy problem is regularized by a well …

Web15 de jun. de 2024 · In this note we discuss the existence and stability of an inverse problem arising from the determination of the reaction coefficients for an SIS model. The … WebOutline 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 …

Web10 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 … WebIn this paper, stability results on the inverse random source scattering problems are shown for the one-dimensional Helmholtz equation in a multi-layered medium, where the …

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 …

WebThis article is published in Mathematical Methods in The Applied Sciences.The article was published on 2024-02-08. It has received 2 citation(s) till now. The article focuses on the topic(s): Boundary value problem. curb your enthusiasm ben\u0027s birthday partyWeb1 de jan. de 2024 · For the inverse problem, we obtain sufficient conditions for a function to be the S-function of the scattering problem on the forked-shaped graph with zero potential on the half-infinite edge, and ... easy driving school plymouth mnWebOutline 1 Motivation: Re ection Seismology 2 Mathematical model: time harmonic case, linearized elasticity, isotropic medium 3 The inverse problem 4 Some history 5 … easy driving directions and mapsWeb26 de fev. de 2013 · The coefficient inverse extremal problems are studied for the stationary convectiondiffusion equation in a bounded domain under mixed boundary … easydrivingtsWeb12 de ago. de 2024 · On the inverse spectral stability for the transmission eigenvalue problem with finite data. Inverse Probl. 36, 085006 (2024) Article ADS MathSciNet … curb your enthusiasm baseball playerWeb28 de fev. de 2024 · This paper is devoted to the inverse problem of determining the spatially dependent source in a time fractional diffusion-wave equation, with the aid of extra measurement data at a subboundary. A uniqueness result is obtained by using the analyticity and the newly established unique continuation principle provided that the … curb your enthusiasm bridgetWebAbstract. Many inverse problems arising in optics and other fields like geophysics, medical diagnostics and remote sensing, present numerical instability: the noise affecting the … curb your enthusiasm bill buckner episode