Global Carleman Estimate and State Observation Problem for Ginzburg–Landau Equation

DOI10.1137/22m1522516zbMath1526.93093arXiv2211.15887OpenAlexW4387341210MaRDI QIDQ6057792

Xiaomin Zhu, Fang-Fang Dou, Xiaoyu Fu, Zhonghua Liao

Publication date: 26 October 2023

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.15887

zbMATH Keywords

conditional stabilityGinzburg-Landau equationCarleman estimatestate observation problem

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Ginzburg-Landau equations (35Q56)

Cites Work

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• Null controllability for the parabolic equation with a complex principal part
• The analysis of linear partial differential operators. IV: Fourier integral operators
• Global existence of solutions to the derivative 2D Ginzburg-Landau equation
• Inverse problems and Carleman estimates. Global uniqueness, global convergence and experimental data
• On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
• Ginzburg-Landau theory of type II superconductors in magnetic field
• The world of the complex Ginzburg-Landau equation
• Carleman estimates for parabolic equations and applications
• Lipschitz stability in inverse parabolic problems by the Carleman estimate
• Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
• Carleman Inequalities
• A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators
• Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I
• Carleman Estimates for Second Order Partial Differential Operators and Applications

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