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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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 Estimates for Waves and Applications [PDF]
Communications in Partial Differential Equations, 2013 31 ...
Baudouin, Lucie +2 more
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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 Estimates and Absence of Embedded Eigenvalues [PDF]
Communications in Mathematical Physics, 2006 26 ...
Koch, Herbert, Tataru, Daniel
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Null controllability of a coupled model in population dynamics [PDF]
Mathematica Bohemica, 2023 We are concerned with the null controllability of a linear coupled population dynamics system or the so-called prey-predator model with Holling type I functional response of predator wherein both equations are structured in age and space.
Younes Echarroudi
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Some Estimates For The Carleman Function
The American Journal of Applied sciences, 2021 In this article we consider Carlеman’s functions, to find integral representation for the polygarmonious functions defined in unbounded domain of Euclidean space which ...
Ashurova Zebiniso Raximovna +1 more
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Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates [PDF]
Journal of Inverse and Ill-posed Problems, 2022 Abstract In this paper, we consider Carleman estimates and inverse problems for the coupled quantitative thermoacoustic equations. In part I, we establish Carleman estimates for the coupled quantitative thermoacoustic equations by assuming that the coefficients satisfy suitable conditions and taking the usual weight function
Shumin Li, Yunxia Shang
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Logarithmic Decay of Wave Equation with Kelvin-Voigt Damping
Mathematics, 2020 In this paper, we analyze the longtime behavior of the wave equation with local Kelvin-Voigt Damping. Through introducing proper class symbol and pseudo-diff-calculus, we obtain a Carleman estimate, and then establish an estimate on the corresponding ...
Luc Robbiano, Qiong Zhang
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