Search Results - "Klibanov, Michael V."

A Coefficient Inverse Problem for the Mean Field Games System by Klibanov, Michael V.

“…A coefficient inverse problem (CIP) of the determination of a coefficient of the mean field games system (MFGS) of the second order is considered. The input…”
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Stability estimates for some parabolic inverse problems with the final overdetermination via a new Carleman estimate by Klibanov, Michael V.

“…This paper is about Hölder and Lipschitz stability estimates and uniqueness theorems for some coefficient inverse problems and associated inverse source…”
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PHASELESS INVERSE SCATTERING PROBLEMS IN THREE DIMENSIONS by KLIBANOV, MICHAEL V.

“…Three-dimensional inverse scattering problems in the frequency domain are considered in the case when only the modulus of the scattered field is given, while…”
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Relaxation property for the adaptivity for ill-posed problems by Beilina, Larisa, V. Klibanov, Michael

“…Adaptive finite element method (adaptivity) is known to be an effective numerical tool for some ill-posed problems. The key advantage of the adaptivity is the…”
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Lipschitz stability of an inverse problem for an acoustic equation by Klibanov, Michael V., Yamamoto, Masahiro

“…An inverse problem of the determination of the coefficient p(x) in the equation is considered. The main difficulty here as compared with the previous results…”
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Hölder stability and uniqueness for the mean field games system via Carleman estimates by Klibanov, Michael V., Li, Jingzhi, Liu, Hongyu

“…Abstract We are concerned with the mathematical study of the mean field games system (MFGS). In the conventional setup, the MFGS is a system of two coupled…”
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Convexification Numerical Method for the Retrospective Problem of Mean Field Games by Klibanov, Michael V., Li, Jingzhi, Yang, Zhipeng

“…The convexification numerical method with the rigorously established global convergence property is constructed for a problem for the Mean Field Games System…”
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Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs by Bakushinskii, Anatoly B., Klibanov, Michael V., Koshev, Nikolaj A.

“…In a series of publications of the second author, including some with coauthors, globally strictly convex Tikhonov-like functionals were constructed for some…”
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On the first solution of a long standing problem: Uniqueness of the phaseless quantum inverse scattering problem in 3-d by Klibanov, Michael V.

“…After publishing his recent paper in SIAM J. Appl. Math. 74, 392–410, 2014 the author has realized that actually he has addressed in that paper, for the first…”
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Through-the-Wall Nonlinear SAR Imaging by Klibanov, Michael V., Smirnov, Alexey V., Khoa, Vo A., Sullivan, Anders J., Nguyen, Lam H.

“…An inverse scattering problem (ISP) for synthetic aperture radar (SAR) data in application to through-the-wall imaging is addressed. In contrast with the…”
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Globally strongly convex cost functional for a coefficient inverse problem by Beilina, Larisa, Klibanov, Michael V.

“…A Carleman Weight Function (CWF) is used to construct a new cost functional for a Coefficient Inverse Problems for a hyperbolic PDE. Given a bounded set of an…”
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Uniqueness of two phaseless non-overdetermined inverse acoustics problems in 3-d by Klibanov, Michael V.

“…Uniqueness is proven for two non-overdetermined 3-d inverse problems of the determination of the spatially distributed sound speed in the frequency dependent…”
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On a problem of S.L. Sobolev by Klibanov, Michael V.

“…In his famous works of 1930 [1,2] Sergey L. Sobolev has proposed a construction of the solution of the Cauchy problem for the hyperbolic equation of the second…”
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Numerical solution of a coefficient inverse problem with multi-frequency experimental raw data by a globally convergent algorithm by Nguyen, Dinh-Liem, Klibanov, Michael V., Nguyen, Loc H., Kolesov, Aleksandr E., Fiddy, Michael A., Liu, Hui

“…We analyze in this paper the performance of a newly developed globally convergent numerical method for a coefficient inverse problem for the case of…”
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Globally strictly convex cost functional for an inverse parabolic problem by Klibanov, Michael V., Kamburg, Vladimir G.

“…A coefficient inverse problem for a parabolic equation is considered. Using a Carleman weight function, a globally strictly convex cost functional is…”
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Convexification numerical algorithm for a 2D inverse scattering problem with backscatter data by Truong, Trung, Nguyen, Dinh-Liem, Klibanov, Michael V.

“…This paper is concerned with the inverse scattering problem which aims to determine the spatially distributed dielectric constant coefficient of the 2D…”
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An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data by Khoa, Vo Anh , Bidney, Grant W., Klibanov, Michael V., Nguyen, Loc H., Nguyen, Lam H., Sullivan, Anders J., Astratov, Vasily N.

“…This report extends our recent progress in tackling a challenging 3D inverse scattering problem governed by the Helmholtz equation. Our target application is…”
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Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements by Beilina, Larisa, Thành, Nguyen Trung, Klibanov, Michael V., Malmberg, John Bondestam

“…We consider a two-stage numerical procedure for imaging of objects buried in dry sand using time-dependent backscattering experimental radar measurements…”
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Comparative studies of the globally convergent convexification algorithm with application to imaging of antipersonnel land mines by Xin, Jianguo, V. Klibanov, Michael

“…A comparative study of various aspects on the globally convergent convexification algorithm for coefficient inverse problems is described. Numerical results of…”
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Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate by Klibanov, Michael V., Pamyatnykh, Sergey E.

“…A coefficient inverse problem for the non-stationary single-speed transport equation for t ∈ ( 0 , T ) with the lateral boundary data and initial condition at…”
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