Carleman estimates and unique continuation for the Schroedinger equation
Differential and Integral Equations, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global Lipschitz stability for an inverse coefficient problem for a mean field game system
Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3858-3870, February 2025.For an inverse coefficient problem of determining a stateâvarying factor in the corresponding Hamiltonian for a mean field game system, we prove the global Lipschitz stability by spatial data of one component and interior data in an arbitrarily chosen subdomain over a time interval. The proof is based on Carleman estimates with different norms.
Oleg Imanuvilov, Masahiro Yamamoto
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On Carleman estimates for pseudo-differential operators [PDF]
Inventiones Mathematicae, 1972 The original purpose of this work was to prove the regularity theorems in [1] without using Fourier integral operators. Instead we use the method of Carleman estimates of H6rmander ([3], Ch. 8), with the weight function e ~Cx) replaced by a pseudo-differential operator e r ~ C x ' ~ s~x'~ of variable order s(x, 4).
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A degenerate population system: Carleman estimates and controllability
, 2020 In this paper we consider a system in non divergence form which models the interaction between two different species u and v. Both of them depend on time, on age and on space. Moreover, the diffusion coefficients degenerate at the boundary of domain.
Boutaayamou I., Fragnelli G.
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Carleman estimates with two large parameters for an anisotropic system of elasticity [PDF]
, 2016 We consider the system of partial differential equations of transversely isotropic elasticity with residual stress. Completing previous results we derive Carleman estimates for this system containing time derivatives.
Isakov, Viktor
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Carleman estimates and necessary conditions for the existence of waveguides
, 2012 We study via Carleman estimates the sharpest possible exponential decay for waveguide solutions to the Laplace equation (partial derivative(2)(t) + Delta)u = Vu + W .
FANELLI, Luca, L. Escauriaza
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Carleman estimates for some elliptic systems [PDF]
Journal of Physics: Conference Series, 2008 A Carleman estimate for a certain first order elliptic system is proved. The proof is elementary and does not rely on pseudo-differential calculus. This estimate is used to prove Carleman estimates for the isotropic Lame system as well as for the isotropic Maxwell system with C1 coefficients.
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Carleman Estimates and Unique Continuation Property for Abstract Elliptic Equations
, 2011 The unique continuation theorems for elliptic differential-operator equations with variable coefficients in vector-valued L-p-space are investigated. The operator-valued multiplier theorems, maximal regularity properties and the Carleman estimates for ...
Shakhmurov, Veli B.
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Carleman estimates for the time-fractional advection-diffusion equations and applications
In this article, we prove Carleman estimates for the generalized time-fractional advection-diffusion equations by considering the fractional derivative as perturbation for the first order time-derivative. As a direct application of the Carleman estimates,
Huang X., Li Z., Yamamoto M.
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Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates [PDF]
, 2016 We consider non smooth general degenerate/singular parabolic equations in non divergence form with degeneracy and singularity occurring in the interior of the spatial domain, in presence of Dirichlet or Neumann boundary conditions.
FRAGNELLI, Genni, Genni Fragnelli
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