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On the stability of inverse problems

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 … Web30 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 ...

The Stability of Inverse Problems SpringerLink

WebCarl Wunsch, in Encyclopedia of Ocean Sciences (Third Edition), 2024. Abstract. Inverse problems and methods in an oceanographic context are almost always ones of statistical estimation theory. They normally involve a combination of a “model” of some form, as well as observational data. The presence of noise in data, and the common issue of sparse … Web1 de set. de 1984 · WAVE MOTION 6 (1984) 489-499 489 NORTH-HOLLAND ON THE STABILITY OF INVERSE SCATTERING PROBLEMS John FAWCETT Department of … marty irving https://new-lavie.com

(PDF) Lipschitz stability in inverse problems for a Kirchhoff plate ...

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 … 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 … 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 … marty ingels and shirley jones

Stability of direct and inverse scattering problems for the …

Category:On the seismic inverse problem: uniqueness, stability and …

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On the stability of inverse problems

(PDF) Lipschitz stability for determination of states and inverse ...

Web23 de dez. de 2024 · Uniqueness and stability are established for both of the inverse source problems. Based on either continuous or discrete multi-frequency data, a unified … Web15 de abr. de 2024 · Stability of the inverse spectral problem. In this section, we consider stability of the inverse spectral problems for the problem R (a, q) due to McLaughlin …

On the stability of inverse problems

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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 … 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 – …

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 …

WebAbstract. Many inverse problems arising in optics and other fields like geophysics, medical diagnostics and remote sensing, present numerical instability: the noise affecting 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 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 ...

WebA. Choudhury and H. Heck, Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates, J. Inverse Ill-Posed Probl., 25 (2024), pp. 251--263. Google Scholar 8.

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 … marty in grease movieWeb30 de dez. de 2010 · Two inverse problems for the Sturm-Liouville operator Ly = s-y″ + q(x)y on the interval [0, fy] are studied. For θ ⩾ 0, there is a mapping F:W θ 2 → l θ B, F(σ) = {s k} ∞ 1, related to the first of these problems, where W ∞ 2 = W ∞ 2 [0, π] is the Sobolev space, σ = ∫ q is a primitive of the potential q, and l θ B is a specially constructed finite … hunmanby hall school for girlsWeb29 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 … marty irving golf clubsWeb6 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 … martyisdead onlineWeb13 de fev. de 2009 · We consider the stability in an inverse problem of determining the potential q entering the wave equation ∂ 2 t u − ∆u + q(x)u = 0 in a bounded smooth … hunmanby historyWeb13 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. hunmanby hall sports \u0026 leisureWebIn 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 … martyisdead serie