On the stability of inverse problems

Author: bxcj

August undefined, 2024

Web1 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. WebInverse Problems Lecture notes, Michaelmas term 2024 University of Cambridge Hanne Kekkonen and Yury Korolev ... (Stability) The direct or forward problem is assumed to …

Stability for an inverse source problem of the diffusion equation

WebHá 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 … 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. phineas and ferb star wars candace

Journal of Inverse and Ill-posed Problems - De Gruyter

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 … 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 … 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 – … tso c195c

Inverse Problems - University of Cambridge

On the seismic inverse problem: uniqueness, stability and …

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 … 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 … tso-c199Web30 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 ... phineas and ferb: star wars

"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 … " - On the stability of inverse problems

On the stability of inverse problems

On Some Features of the Numerical Solving of Coefficient Inverse ...

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 source function is driven by a spatial Brownian motion. The statistical properties of the random source including expectation and variance are reconstructed from physically … Web31 de out. de 2013 · M. V. Klibanov, Carleman estimates and inverse problems in the lasrt two decades, in Surveys on Solution Methods for Inverse Problems, Springer, Vienna, 2000, 119-146. [17] M. V. Klibanov and M. Yamamoto, Lipschitz stability of an inverse problem for an acoustic equation, Appl. Anal., 85 (2006), 515-538.doi: …

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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 … 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. …

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 … 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. …

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 … 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 …

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. …

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 … tso c190Web12 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 … tso c201WebIn 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 … tso-c201WebThis 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. tso c1cWeb13 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 > … tso c197Weband 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 ... tso c209Web22 de abr. de 2024 · The obtained stability yields under mild assumptions the well-posedness of Bayesian inverse problems, in particular, a well-posedness w.r.t. the … tso-c196