Observability inequalities for transport equations through Carleman estimates [PDF]
, 2019 We consider the transport equation $\ppp_t u(x,t) + H(t)\cdot \nabla u(x,t) = 0$ in $\OOO\times(0,T),$ where $T>0$ and $\OOO\subset \R^d $ is a bounded domain with smooth boundary $\ppp\OOO$.
F Gölgeleyen +7 more
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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
openaire +6 more sources
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
doaj +1 more source
Global Carleman Estimates for Waves and Applications [PDF]
Communications in Partial Differential Equations, 2013 31 ...
Baudouin, Lucie +2 more
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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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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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Resolvent Estimates for the Lamé Operator and Failure of Carleman Estimates [PDF]
Journal of Fourier Analysis and Applications, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kwon, Yehyun, Lee, Sanghyuk, Seo, Ihyeok
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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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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
doaj +1 more source
Null Controllability of a Four Stage and Age-Structured Population Dynamics Model
Journal of Mathematics, 2021 This paper is devoted to study the null controllability properties of a population dynamics model with age structuring and nonlocal boundary conditions.
Amidou Traoré +2 more
doaj +1 more source