Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems [PDF]
In this paper, we establish a global Carleman estimate for stochastic parabolic equations. Based on this estimate, we study two inverse problems for stochastic parabolic equations.
Lü, Q., Lü Q.
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Carleman Estimate and Application to the Stabilization of a Dissipative Hyperbolic System
International audienceCarleman estimates for scalar equations are deeply studied by now; however the case of the system these kinds of estimates sill rather very limited in the literature.
Ammari, Kaïs +2 more
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A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS
In this work we consider a linearized system of parabolic equations associated to a semilinear system of heat equations. Following the ideas of O. Imanuvilov, M. Yamamoto and L.
Víctor Rafael Cabanillas Zannini
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Carleman and Observability Estimates for Stochastic Wave Equations [PDF]
Based on a fundamental identity for stochastic hyperbolic-like operators, we derive in this paper a global Carleman estimate (with singular weight function) for stochastic wave equations. This leads to an observability estimate for stochastic wave equations with nonsmooth lower order terms.
openaire +3 more sources
Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
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
Carleman estimate for telegrapher's equations on a network and application to an inverse problem
The main purpose of this work is to study an inverse coefficient problem for the telegrapher's equations on a tree-shaped network. To analyze the stability for this inverse problem, Carleman estimate is established first.
Ding, Yibin, Xu, Xiang
core
No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
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
Koopman‐Based Nonlinear Identification and Model Predictive Control of a Turbofan Engine
A Koopman model is identified using a metaheuristic extended dynamic model decompostion and an adaptive Koopman model predictive control framework is proposed. Simulation results indicate improved robustness of the MPC controller relative to benchmark methods.
David Grasev
wiley +1 more source
Carleman estimates and null controllability of a class of singular parabolic equations
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 +1 more source
A theorem concerning Fourier transforms: A survey
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
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