Results 11 to 20 of about 160 (154)
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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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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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 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 \(S\).
Benabdallah, Assia +2 more
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Comptes Rendus. Mathématique, 2023 We show the local null-controllability of a fluid-structure interaction system coupling a viscous incompressible fluid with a damped beam located on a part of its boundary.
Buffe, Rémi, Takahashi, Takéo
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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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Local exact controllability of the age-dependent population dynamics with diffusion
Abstract and Applied Analysis, 2001 We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of ...
Bedr'eddine Ainseba, Sebastian Anita
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Controllability results for weakly blowing up reaction-diffusion system
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we consider the controllability of a general reaction-diffusion system with homogeneous Dirichlet boundary conditions. We prove the exact controllability to the trajectories and the approximate controllability of the system which contains ...
Qiang Tao, Hang Gao, Ying Yang
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A strongly ill-posed integro-differential parabolic problem with integral boundary conditions
Mathematical Modelling and Analysis, 2013 Via Carleman estimates we prove uniqueness and continuous dependence results for an identification and strongly ill-posed linear integro-differential parabolic problem with the Dirichlet boundary condition, but with no initial condition.
Alfredo Lorenzi
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