Results 11 to 20 of about 1,641,201 (192)
Carleman estimate for the Navier–Stokes equations and applications [PDF]
Inverse Problems, 2022 Abstract For linearized Navier–Stokes equations, we first derive a Carleman estimate with a regular weight function. Then we apply it to establish conditional stability for the lateral Cauchy problem and finally we prove conditional stability estimates for the inverse source problem of determining a spatially varying divergence-free ...
Oleg Y Imanuvilov +2 more
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Carleman estimate and null controllability of a cascade degenerate parabolic system with general convection terms [PDF]
Electronic Journal of Differential Equations, 2018 This article shows Carleman estimate and null controllability of a cascade control system governed by the semilinear degenerate parabolic equations with the general convection terms.
Jianing Xu, Chunpeng Wang, Yuanyuan Nie
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Discrete Carleman estimates and three balls inequalities [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractWe prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrödinger operators. These quantitatively connect the discrete setting in which the unique continuation property fails and the continuum setting in which the unique continuation property is known to hold under suitable regularity assumptions.
Fernández-Bertolin, Aingeru +3 more
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Global Carleman estimate for the plate equation and applications to inverse problems
Electronic Journal of Differential Equations, 2016 In this article, we establish a Carleman estimate for the plate equation in order to solve an inverse problem retrieving the zeroth-order term for a plate equation from boundary measurements.
Peng Gao
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This work aims to study Carleman estimates, a weighted-type of inequalities first introduced by Carleman in 1939. Such estimates are very important for proving unique continuation properties of differential and pseudo-differential operators. We first derive a Carleman estimate for the Laplacian operator as an illustrative example following the work of ...
Caballero Luján, Guillermo
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Carleman Estimates for Some Thermoelasticity Systems
, 2017 In this chapter, we establish Carleman estimates for a thermoelastic plate system and a thermoelastic system with residual stress as applications of the Carleman estimate in Chap. 4.
Bellassoued M., Yamamoto M.
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Resolvent Estimates for the Lamé Operator and Failure of Carleman Estimates [PDF]
Journal of Fourier Analysis and Applications, 2021 To appear in Journal of Fourier Analysis and ...
Kwon, Yehyun, Lee, Sanghyuk, Seo, Ihyeok
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Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid
Comptes Rendus. Mathématique, 2021 We consider the controllability of a viscous incompressible fluid modeled by the Navier–Stokes system with a nonlinear viscosity. To prove the controllability to trajectories, we linearize around a trajectory and the corresponding linear system includes ...
Guerrero, Sergio, Takahashi, Takéo
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A Carleman estimate and an energy method for a first-order symmetric hyperbolic system [PDF]
, 2022 For a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices.
Floridia G. +5 more
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Carleman Estimates and Absence of Embedded Eigenvalues [PDF]
Communications in Mathematical Physics, 2006 26 ...
Koch, Herbert, Tataru, Daniel
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