On the stability of inverse problems

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August undefined, 2024

Web10 de abr. de 2024 · Stability for the inverse source problems in elastic and electromagnetic waves. J. Math. Pures Appl., 134 (2024), pp. 122-178. View PDF View … 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 …

Stability for the Acoustic Inverse Source Problem in …

Web13 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. 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. … easter lectionary

Stability for an inverse source problem of the diffusion equation

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 – … WebHowever, the connection between the inverse problem for the RTE and the inverse problem for the elliptic equation has not been fully developed. This problem is particularly interesting because the former one is mildly ill-posed, with a Lipschitz type stability estimate, while the latter is well known to be severely ill-posed with a logarithmic type … Web15 de jun. de 2024 · The inverse problem may be recast as the optimization problem (5) inf J ( β, γ) subject to ( β, γ) ∈ U a d ( Ω) and ( S, I) a solution of (1)– (4). where the cost … cu denver school address

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

Potential theory, inverse problems in - Encyclopedia of …

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 … Web13 de fev. de 2009 · Consider the inverse problem of determining the potential q from the Neumann to Dirichlet map Λ q of the wave equation u tt − Δu + qu = 0 in Ω × (0, T) with u(x, 0) = u t (x, 0) = 0.In this paper, a nearly Lipschitz-type stability estimate is established for the inverse problem: for any small > 0, there exists β 0 > 0 such that when for some β > … cu denver office of financial aidWeb28 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 … cu denver routing number

"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 … " - On the stability of inverse problems

On the stability of inverse problems

Increasing stability in the inverse scattering problem for a …

Web1 de mar. de 2024 · Concerning the inverse problem of bottom detection through measures on the free surface, in [15], the authors used the simple elliptic formulation (1.4)–(1.3) of … 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 …

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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 … Web15 de set. de 2024 · Stability of inverse scattering problem. In this section, we study the stability of inverse scattering problem for recovering the potential and the parameter in …

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

WebInverse problems have been encountered in many areas of ap- ... In order to study the stability of the optimization problems (4) and (6) at ! , we will characterize the second … WebStability results for inverse problems on manifolds. Desde 20-04-2024 Hasta 20-04-2024. Plaza de las Ciencias, 3, Madrid, España. Organizado por el Instituto de Matemática …

Web30 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 … easter layered saladWeb12 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 … cu denver internship officeWeb10 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 … easter leave australiaWeb1 de set. de 1984 · WAVE MOTION 6 (1984) 489-499 489 NORTH-HOLLAND ON THE STABILITY OF INVERSE SCATTERING PROBLEMS John FAWCETT Department of … cu denver school of public healthWeb1 de set. de 1984 · WAVE MOTION 6 (1984) 489-499 489 NORTH-HOLLAND ON THE STABILITY OF INVERSE SCATTERING PROBLEMS John FAWCETT Department of Mathematics, Stanford University, Stanford, CA 94305, USA Received 26 October 1983 Some aspects of the time-dependent inverse scattering problem are discussed. Then … easter lectionary 2023Web1 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. easter leave dates 2023Web23 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 … easter lebanon 2023