On the stability of inverse problems

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August undefined, 2024

Web11 de jul. de 2024 · We consider the non-self-adjoint Sturm–Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenvalues and generalized weight numbers. We prove local solvability and stability of this inverse problem, relying on the method of spectral mappings. Possible … 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 …

Stability of inverse random source scattering problems in a multi ...

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 … 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 … optical 116 mott street

On stability of solutions of the coefficient inverse extremal …

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 … 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 … 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. porting 706 heads

On the stability of inverse problems Semantic Scholar

Stability of direct and inverse scattering problems for the …

Web1 de jan. de 2007 · Stability estimates for a plate problem were studied in Gao 15 and Wang, 16 the Lipschitz stability for a Kirchhoff plate equation was obtained in Yuan and Yamamoto, 17 and inverse source problems ... 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. optical 20/20 whitbyWebIn this paper, we show for the first time the stability of the inverse source problem for the three-dimensional Helmholtz equation in an inhomogeneous background medium. The … optical 2 in 1 out

"Web, On certain inverse problems for parabolic equations with final and integral observation, Sb. Math. 75 (2) (1993) 473. Google Scholar [33] Prilepko Aleksey I., Kamynin Vitaly L., Kostin Andrew B., Inverse source problem for parabolic equation with the condition of integral observation in time, J. Inverse Ill-Posed Probl. 26 (4) (2024) 523 – 539. " - On the stability of inverse problems

On the stability of inverse problems

Stability and L∞-Gain of Positive Fractional-Order Singular …

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 … 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 …

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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 … 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 …

Web9 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 … 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 …

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. Web13 de fev. de 2009 · We consider the stability in an inverse problem of determining the potential q entering the wave equation ∂ 2 t u − ∆u + q(x)u = 0 in a bounded smooth …

Web10 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 …

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 … porting 781 bbc headsWebIn 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 … optical 2000 clinton ms faxWeb26 de fev. de 2013 · The coefficient inverse extremal problems are studied for the stationary convectiondiffusion equation in a bounded domain under mixed boundary … porting 853 ls1 headsWeb28 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 … porting 800 numbersWebHowever, 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 … porting 862 headsWeb12 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 … porting 906 headsWebA. 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. … optical 2000 clinton ms reviews