On the stability of inverse problems

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 … 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 ...

Inverse problem - Wikipedia

WebThe 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 … 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 > … black aluminium profile for led lighting https://login-informatica.com

Inverse problems for Sturm—Liouville operators with potentials …

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. Web1 de jan. de 1993 · Issues of the Journal of Inverse and Ill-Posed Problems contain high quality papers which have an innovative approach and topical interest. The following … Web12 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 … black aluminium picket fence

Stability properties of an inverse parabolic problem with unknown ...

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On the stability of inverse problems

On the stability of an inverse problem for the wave equation

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. … 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 …

On the stability of inverse problems

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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 … 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.

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 …

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. 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 ...

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 …

Web1 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 ... black aluminium pool fencingWeb15 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 … dauphin island al webcamWebHá 1 dia · 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 … dauphin island art trailWebD. 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 … dauphin island al zillowWeb13 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 … black aluminium sheetWeb1 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 … dauphin island al fishing rodeoWeb11 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 – … black aluminium shs