Results 161 to 170 of about 1,208,780 (193)

Carleman estimates for second-order hyperbolic systems in anisotropic cases and applications. Part I: Carleman estimates

Applicable Analysis, 2014
In this paper, we consider Carleman-type estimates and an inverse source problem for second-order hyperbolic systems in an anisotropic case. In Part I, we establish a Carleman-type estimate for hyperbolic systems in an anisotropic case by assuming that the coefficient matrices in the systems satisfy suitable conditions and taking the weight function ...
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Carleman Estimates and Applications to Inverse Problems

Milan Journal of Mathematics, 2004
Click on the DOI link to access the article (may not be free) ; This review paper describes some general and recent results of possible interest for mathematicians studying or using uniqueness of the continuation or working on control theory or inverse problems for partial differential equations.
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Optimality Aspects of Carleman Estimates

2021
Jérôme Le Rousseau, Gilles Lebeau, Luc Robbiano   +2 more
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Carleman estimates for parabolic equations and applications

Inverse Problems, 2009
In this review, concerning parabolic equations, we give self-contained descriptions on derivations of Carleman estimates; methods for applications of the Carleman estimates to estimates of solutions and to inverse problems.Moreover limited to parabolic equations, we survey the previous and recent results in view of the applicability of the Carleman ...
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Inverse Problems and Carleman Estimates

2021
Michael V. Klibanov, Jingzhi Li
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A Short Introduction to Carleman Estimates

2023
Jérémi Dardé, Sylvain Ervedoza
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Estimation of Carleman operator from a univariate time series

Chaos: An Interdisciplinary Journal of Nonlinear Science
Reconstructing a nonlinear dynamical system from empirical time series is a fundamental task in data-driven analysis. One of the main challenges is the existence of hidden variables; we only have records for some variables, and those for hidden variables are unavailable.
Sherehe Semba, Huijie Yang, Xiaolu Chen, Huiyun Wan, Changgui Gu   +4 more
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Carleman Estimates via Brenner’s Theorem and Strichartz Estimates

2019
In this chapter, we study more systematically \(L^{p}-L^{q}\) Carleman estimates, mainly following the articles of C. Sogge ([141]), D. Tataru ([153]), H. Koch and D. Tataru [83] and D. Dos Santos Ferreira ([34, 35]). In contrast to \(L^{2}-L^{2}\) estimates, where Hilbertian methods and integration by parts can be used, the \(L^{p}-L^{q}\) Carleman ...
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Carleman Estimates and Boundedness of Associated Multiplier Operators

Communications in Partial Differential Equations, 2022
Yehyun Kwon, Sanghyuk Lee
exaly  

The Mean Field Games System: Carleman Estimates, Lipschitz Stability and Uniqueness

Journal of Inverse and Ill-Posed Problems, 2023
Michael Klibanov
exaly