Results 1 to 10 of about 195,667 (268)

Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds [PDF]

, 2018
We consider inverse problems in space-time (M, g), a 4-dimensional Lorentzian manifold. For semilinear wave equations square(g)u + H (x, u) = f, where square(g) denotes the usual Laplace-Beltrami operator, we prove that the source-to-solution map , L : f
Matti Lassas, Lassas, Matti, Yiran Wang, Wang, Yiran, Gunther Uhlmann, Uhlmann, Gunther   +5 more
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Some inverse problems on Jacobi matrices

, 2010
In this paper, we use a relation between products of matrices on M2 (R[x]) and Jacobi matrices to study some inverse problems on Jacobi matrices, including uniqueness and existence theorems ...
Shieh, Chung-tsun
core   +1 more source

Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations [PDF]

, 2019
A class of inverse problems for restoring the right-hand side of a parabolic equation for a large class of positive operators with discrete spectrum is considered.
Tokmagambetov, Niyaz, Tokmagambetov, N, Torebek, Berikbol, Ruzhansky, M, Torebek, BT, Ruzhansky, Michael, Torebek, Berikbol T   +6 more
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Inverse medium problem for a singular contrast [PDF]

, 2019
We consider an inverse medium problem in two- and three-dimensional cases. Namely, we investigate the problem of reconstruction of unknown compactly supported refractive index (contrast) from L-2 with a fixed positive wave number.
T. Tyni, Serov, V., Tyni, T., V. Serov
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An inverse random source problem in a stochastic fractional diffusion equation [PDF]

, 2020
In this work the authors consider an inverse source problem the stochastic fractional diffusion equation. The interested inverse problem is to reconstruct the unknown spatial functions f and g (the latter up to the sign) in the source by the statistics ...
Zhang, Zhidong, Helin, Tapio, Niu, Pingping   +2 more
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A general approach to regularizing inverse problems with regional data using Slepian wavelets

, 2017
Slepian functions are orthogonal function systems that live on subdomains (for example, geographical regions on the Earth's surface, or bandlimited portions of the entire spectrum). They have been firmly established as a useful tool for the synthesis and
Volker Michel, Michel, Volker, Simons, Frederik J, Frederik J Simons   +3 more
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Statistical inference for inverse problems [PDF]

In this paper we study statistical inference for certain inverse problems. We go beyond mere estimation purposes and review and develop the construction of confidence intervals and confidence bands in some inverse problems, including deconvolution and ...
Bissantz, Nicolai, Holzmann, Hajo
core  

Regularization of inverse problems via time discrete geodesics in image spaces

, 2022
Art. 055005, 29 S.This paper addresses the solution of inverse problems in imaging given an additional reference image. We combine a modification of the discrete geodesic path model for image metamorphosis with a variational model, actually the L 2 ...
Persch, J., Neumayer, S., Steidl, G.
core   +1 more source

Inverse problems for quantum trees

, 2008
Three different inverse problems for the Schrodinger operator on a metric tree are considered, so far with standard boundary conditions at the vertices.
Avdonin, Sergei, Kurasov, Pavel,
core  

Inverse problems with nonnegative and sparse solutions : algorithms and application to the phase retrieval problem

, 2018
In this paper, we study a gradient-type method and a semismooth Newton method for minimization problems in regularizing inverse problems with nonnegative and sparse solutions.
Tang, Dongliang, Dongliang Tang, Hào, Dinh Nho, Dinh Nho Hào, Dang, Cuong, Cuong Dang, Cong, Nguyen Huu, Sujit Kumar Sahoo, Sahoo, Sujit Kumar, Nguyen Huu Cong, Muoi, Pham Quy, Pham Quy Muoi   +11 more
core   +1 more source