Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials
From MaRDI portal
Publication:2039609
DOI10.4171/JEMS/1105zbMath1467.35067arXiv1902.00068MaRDI QIDQ2039609
Bruno Vergara, Arick Shao, Alberto Enciso
Publication date: 5 July 2021
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.00068
Observability (93B07) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Singular hyperbolic equations (35L81)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
- Unique continuation from infinity in asymptotically anti-de Sitter spacetimes
- The massive wave equation in asymptotically AdS spacetimes
- Sharp Morawetz estimates
- The Klein-Gordon equation in the anti-de Sitter cosmology
- Global uniqueness theorems for linear and nonlinear waves
- A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
- Sharp \(L^p\)-Carleman estimates and unique continuation
- Unique continuation from infinity for linear waves
- On the uniqueness of smooth, stationary black holes in vacuum
- Unique continuation for parabolic operators
- Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations
- A singular initial-boundary value problem for nonlinear wave equations and holography in asymptotically anti-de Sitter spaces
- A priori estimates of Carleman's type in domains with boundary
- Lorentzian Einstein metrics with prescribed conformal infinity
- Fractional powers of the wave operator via Dirichlet-to-Neumann maps in anti-de Sitter spaces
- On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
- Some dispersive estimates for Schrödinger equations with repulsive potentials
- Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients
- Global Carleman Estimates for Waves and Applications
- Exact Boundary Controllability of 1-D Parabolic and Hyperbolic Degenerate Equations
- Strong Uniqueness Theorems for Second Order Elliptic Differential Equations
- Hardy Inequalities, Observability, and Control for the Wave and Schrödinger Equations with Singular Potentials
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes
- Explicit Observability Inequalities for the Wave Equation with Lower Order Terms by Means of Carleman Inequalities
- Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries
- Dispersive estimates for principally normal pseudodifferential operators
- Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
- TheXsθspaces and unique continuation for solutions to the semilinear wave equation
- Carleman Estimates and Unique Continuation for Second Order Parabolic Equations with Nonsmooth Coefficients
- Time decay for the nonlinear Klein-Gordon equation
- Strichartz estimates for the wave and Schroedinger equations with potentials of critical decay
This page was built for publication: Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials