On controllability of waves and geometric Carleman estimates [PDF]
Séminaire Laurent Schwartz — EDP et applications, 2019 The present article is a brief summary of the paper [27], which established new Carleman and observability estimates for a general class of linear wave equations. The main features of these estimates are that (a) they apply to a fully general class of time-dependent domains, with timelike moving boundaries, (b) they apply to linear wave equations in ...
Arick Shao
openalex +2 more sources
Carleman estimates and null controllability of a class of singular parabolic equations [PDF]
Advances in Nonlinear Analysis, 2018 In this paper, we consider control systems governed by a class of semilinear parabolic equations, which are singular at the boundary and possess singular convection and reaction terms.
Du Runmei +3 more
doaj +2 more sources
Carleman estimates for stratified media
Journal of Functional Analysis, 2011 Let \(\Omega=\Omega'\times (-H,H)\) be a cylinder in \(\mathbb R^n\), where \(\Omega'\) is a nonempty bounded set in \(\mathbb R^{n-1}\). Let \(S=\Omega'\times\{0\}\) be an interface where coefficients and functions may jump. The authors prove Carleman estimates for anisotropic elliptic and parabolic operators with discontinuities on \(S\).
Assia Benabdallah +2 more
openalex +4 more sources
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
openaire +3 more sources
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
doaj +1 more source
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
openaire +2 more sources
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
openaire +1 more source
Carleman Estimates and Absence of Embedded Eigenvalues [PDF]
Communications in Mathematical Physics, 2006 26 ...
Koch, Herbert, Tataru, Daniel
openaire +3 more sources