Results 21 to 30 of about 645 (200)
Inverse Problems for Parabolic Equation with Discontinuous Coefficients
Nonautonomous Dynamical Systems, 2017 We consider the reaction-diffusion equation with discontinuities in the diffusion coefficient and the potential term. We start by deriving the Carleman estimate for the discontinuous reaction-diffusion operator which is deployed in the inverse problems ...
Dinakar V. +2 more
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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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Stabilization of the weakly coupled plate equations with a locally distributed damping
Advances in Difference Equations, 2020 In this paper, we study the indirect stabilization of a system of plate equations which are weakly coupled and locally damped. By virtue of the general results due to Burq in the study of asymptotic behavior of solutions, we prove that the semigroup ...
Xianzheng Zhu
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Uniqueness properties for discrete equations and Carleman estimates
Journal of Functional Analysis, 2017 Using Carleman estimates, we give a lower bound for solutions to the discrete Schr dinger equation in both dynamic and stationary settings that allows us to prove uniqueness results, under some assumptions on the decay of the solutions.
Bertolin, Aingeru Fernández, Vega, Luis
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Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain
Boundary Value Problems, 2017 In this paper, we address an inverse problem for the Korteweg-de Vries equation posed on a bounded domain with boundary conditions proposed by Colin and Ghidaglia.
Mo Chen
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Carleman’s and subelliptic estimates
Duke Mathematical Journal, 1988 Für einen Differentialoperator P der Ordnung m in \(\Omega \subset R^ n\) und einer glatten reellen Funktion \(\psi\) sei \(P_{\gamma}=e^{-\psi \gamma}Pe^{\psi \gamma}\) mit \(\gamma\geq 1\) gesetzt. Verf. zeigt die Ungleichungen \(\gamma^{1/(k+1)}\| u\|_{m-1,\gamma}\leq C_ K\| P_{\gamma}u\|_{L^ 2}\) und \(\gamma^{-k/(k+1)}\| u\|_{m,\gamma}\leq C_ K ...
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Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.ABSTRACT This study introduces a framework for learning a low‐depth surrogate quantum circuit (SQC) that approximates the nonlinear, dissipative, and hence non‐unitary Bhatnagar–Gross–Krook (BGK) collision operator in the lattice Boltzmann method (LBM) for the D2Q9$$ {D}_2{Q}_9 $$ lattice.
Monica Lăcătuş, Matthias Möller
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We deal with a control problem for a coupled system of two degenerate singular parabolic equations in non-divergence form with degeneracy and singularity appearing at an interior point of the space domain. In particular, we consider the well-posedness of
Jawad Salhi
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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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No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Asian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi +3 more
wiley +1 more source