Control of waves on Lorentzian manifolds with curvature bounds
type: Item
instance of: scholarly article
title: Control of waves on Lorentzian manifolds with curvature bounds
author: Vaibhav Kumar Jena
author: Arick Shao
published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
publication date: 2024-10-18T00:00:00Z
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35R01
Mathematics Subject Classification ID: 58J45
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 7928760
zbMATH Keywords: wave equations
zbMATH Keywords: controllability
zbMATH Keywords: Carleman estimates
zbMATH Keywords: Lorentzian manifolds
MaRDI profile type: Publication
cites work: A General Theory of Observation and Control
cites work: Q3717707
cites work: Exact Controllability, Stabilization and Perturbations for Distributed Systems
cites work: On Carleman and observability estimates for wave equations on time‐dependent domains
cites work: Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
cites work: Uniform observability estimates for linear waves
cites work: Geometric control condition for the wave equation with a time-dependent observation domain
cites work: Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
cites work: Global Carleman Estimates for Waves and Applications
cites work: Nonconservative wave equations with unobserved Neumann B.C.: Global uniqueness and observability in one shot
cites work: A priori estimates of Carleman's type in domains with boundary
cites work: Uniqueness in the Cauchy Problem for Partial Differential Equations
cites work: Q5776254
cites work: Q3752751
cites work: Q4462485
cites work: Q3732154
cites work: Q3752171
cites work: On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
cites work: Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
cites work: Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot
cites work: On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
cites work: Lorentzian Calderón problem under curvature bounds
cites work: Inverse source problem for a system of wave equations on a Lorentzian manifold
cites work: Q5634306
cites work: Injectivity radius of Lorentzian manifolds
cites work: Global uniqueness theorems for linear and nonlinear waves
cites work: Carleman estimate for ultrahyperbolic operators and improved interior control for wave equations
cites work: Interior control of waves on time dependent domains
cites work: Unicité de Cauchy pour des opérateurs de type principal. (Cauchy uniqueness for operators of principal type)
cites work: Q3312869
cites work: Null geodesics and improved unique continuation for waves in asymptotically anti-de Sitter spacetimes
DOI: 10.1051/COCV/2024056
description: scientific article; zbMATH DE number 7928760