Results 121 to 130 of about 156 (155)

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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Inverse Problems and Carleman Estimates

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

2023
Jérémi Dardé, Sylvain Ervedoza
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A Carleman estimate and an energy method for a first-order symmetric hyperbolic system

Inverse Problems and Imaging, 2022
Masahiro Yamamoto, Hiroshi Takase, Giuseppe Floridia   +2 more
exaly  

Global Carleman Estimate and State Observation Problem for Ginzburg–Landau Equation

SIAM Journal on Control and Optimization, 2023
Fangfang Dou, Xiaoyu Fu
exaly  

Carleman Estimate and Application to the Stabilization of a Dissipative Hyperbolic System

Trends in Mathematics, 2023
Fathi Hassine, Kais Ammari, Hassine Fathi   +2 more
exaly  

Carleman Estimate for Linear Viscoelasticity Equations and an Inverse Source Problem

SIAM Journal on Mathematical Analysis, 2020
Masahiro Yamamoto, Oleg Yu Imanuvilov
exaly