On the stability of inverse problems

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August undefined, 2024

WebOutline 1 Motivation: Re ection Seismology 2 Mathematical model: time harmonic case, linearized elasticity, isotropic medium 3 The inverse problem 4 Some history 5 Regularization: Unknown parameters are piecewise constant on a nite partition of the background domain 6 Parameter identi cation (given the partition) 7 Quantitative … 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 – …

Stability for an Inverse Source Problem of the Biharmonic Operator ...

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 … 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 … north clearwater beach

On stability and regularization for data-driven solution of …

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 … 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 > … 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 … north clearwater beach real estate

On the stability of inverse problems Semantic Scholar

Journal of Inverse and Ill-posed Problems - De Gruyter

Web9 de mar. de 2024 · Convergence analysis of an optimally accurate frozen multi-level projected steepest descent iteration for solving inverse problems. Authors: Gaurav … WebAn inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating an image in X-ray computed tomography, source reconstruction in acoustics, or calculating the density of the Earth from measurements of its gravity field.It is called an inverse problem because it starts with … how to reset password for ps5Web31 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: … north clearwater beach dog friendly

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On the stability of inverse problems

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

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. 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. …

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

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. 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 …

Web22 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 … 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.

Web28 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 …

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 … north clearwater beach hotelsWeband 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 ... north clearwater beach mapWebOutline 1 Motivation: Re ection Seismology 2 Mathematical model: time harmonic case, linearized elasticity, isotropic medium 3 The inverse problem 4 Some history 5 … north clearwater beach restaurantsWeb1 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 … how to reset password for lastpassWeb10 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 … north clearwater beach condo rentalsWeband 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 … north clearwater beach rentalsWeb10 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 … north clearwater beach vacation rentals