On the stability of inverse problems
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 … 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 Mathematics, Stanford University, Stanford, CA 94305, USA Received 26 October 1983 Some aspects of the time-dependent inverse scattering problem are discussed. Then …
On the stability of inverse problems
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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 …
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 … 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 > …
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 … 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 …
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 …
Web15 de set. de 2024 · Stability of direct and inverse scattering problems for the self-adjoint Schrödinger operators on the half-line. Author links open overlay panel Xiao-Chuan Xu. … black box hackingWeband 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 ... black box handcuff applicationWebInverse 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 … black box hair dye to blondeWebThe 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 … black box handcuff coverWeb1 de mar. de 2013 · I www.sciencedirect.com artial Differential Equations remark on Lipschitz stability for inverse problems ne remarque sur la stabilité lipschitzienne pour les problèmes inverses aurent Bourgeois boratoire POEMS, ENSTA ParisTech, 828, boulevard des Maréchaux, 91762 Palaiseau cedex, France rticle info abstract ticle … gale throws an orange at a doorWeb9 de fev. de 2024 · Download a PDF of the paper titled Stability for an inverse source problem of the biharmonic operator, by Peijun Li and 2 other authors. Download PDF … black box hardwareWeb10 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 … galet michaud chailly