Local state observation for stochastic hyperbolic equations

DOI10.1051/cocv/2019049zbMath1460.93018OpenAlexW2971338620MaRDI QIDQ5854371

Qi Lü, Zhong Qi Yin

Publication date: 17 March 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2019049

zbMATH Keywords

Carleman estimatestochastic hyperbolic equationlocal state observationlocal unique continuation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Stochastic systems in control theory (general) (93E03) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unique continuation for stochastic parabolic equations
• The analysis of linear partial differential operators. IV: Fourier integral operators
• Non-unicité du problème de Cauchy
• Uniqueness and non-uniqueness in the Cauchy problem
• Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
• Uniqueness in the Cauchy problem for operators with partially holomorphic coefficients
• Carleman estimates and controllability of linear stochastic heat equations
• A quantitative boundary unique continuation for stochastic parabolic equations
• Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems
• A unified controllability/observability theory for some stochastic and deterministic partial differential equations
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• Null Controllability for Forward and Backward Stochastic Parabolic Equations
• Carleman and Observability Estimates for Stochastic Wave Equations
• Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques
• Uniqueness in Cauchy Problems for Hyperbolic Differential Operators
• Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
• Observability Estimate for Stochastic Schrödinger Equations and Its Applications
• Unique continuation for stochastic heat equations
• Global Uniqueness for an Inverse Stochastic Hyperbolic Problem with Three Unknowns
• Global Carleman estimate for stochastic parabolic equations, and its application
• Observability Estimate and State Observation Problems for Stochastic Hyperbolic Equations