Results 11 to 20 of about 1,208,780 (193)
Carleman estimates and observability inequalities for parabolic equations with interior degeneracy
Advances in Nonlinear Analysis, 2013 We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on Carleman estimates for the associated adjoint problem.
Fragnelli Genni, Mugnai Dimitri
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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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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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Uniqueness properties for discrete equations and Carleman estimates [PDF]
Journal of Functional Analysis, 2017 In the revised version, published in 2017, we improve our Carleman estimate and the method of proof of Theorem 1.1 in order to quantify the uniqueness result in the one dimensional case, proving the sharp uniqueness result conjectured by Lyubarskii, Jaming, Malinnikova and ...
Bertolin, Aingeru Fernández, Vega, Luis
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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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Cohomology with bounds and Carleman estimates for the ∂¯-operator on Stein manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 Cohomology with bounds are used to globalize a result of Hörmander obtaining Carleman estimates for the Cauchy-Riemann operator on Stein manifolds.
Patrick W. Darko
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Carleman estimates for the Euler-Bernoulli plate operator [PDF]
Electronic Journal of Differential Equations, 2000 We present some a-priori estimates of Carleman type for the Euler-Bernoulli plate operator. As an application, we consider a problem of boundary observability for the Euler-Bernoulli plate coupled with the heat equation.
Paolo Albano
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, 2017 In this monograph, we discuss the derivation of Carleman estimates and their application to inverse problems of determining spatially varying coefficients or source terms. The inverse problem is to determine unknown quantities in governing equations from available data of solutions.
Bellassoued M., Yamamoto M.
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Carleman estimates and null controllability of a class of singular parabolic equations
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
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Null controllability for a degenerate population model in divergence form via Carleman estimates
Advances in Nonlinear Analysis, 2019 In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
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