Explicit observability inequalities for the wave equation with lower order terms by means of Carleman inequalities

SIAM Journal on Control and Optimization

Volumn 39, Issue 3, 2000, Pages 812-834

  Zhang, X ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

Carleman estimate; Controllability; Energy estimate; Observability; Wave equation

Indexed keywords

CONTROLLABILITY; LINEAR EQUATIONS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; WAVE EQUATIONS;

CARLEMAN ESTIMATE; ENERGY ESTIMATE; OBSERVABILITY INEQUALITIES;

OBSERVABILITY;

EID: 0034437583     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012999350298     Document Type: Article

References (33)

1. A nonuniqueness result for operators of principal type
2. Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary
3. Controllability of evolution equations
4. Observabilité frontiére de l'équation des ondes
5. The analysis of linear partial differential operators. III. Pseudo-differential operators
6. Stability estimates for ill-posed Cauchy problems involving hyperbolic equations and inequalities
7. Exact controllability and stabilization. The multiplier method
8. The Hilbert uniqueness method: A retrospective
9. Nonhomogeneous boundary value problems for second order hyperbolic operators
10. 2(Γ))-boundary terms
11. Carleman estimates and exact boundary controllability for a system of coupled, nonconservative second-order hyperbolic equations
12. Exact controllability for second-order hyperbolic equations with variable coefficient-principle part and first-order terms
13. Nonconservative wave equations with purely Neumann B.C.: Global uniqueness and observability in one shot
14. Ill-posed problems of mathematics physics and analysis
15. Optimal control theory for infinite dimensional systems
16. Exact controllability, stabilization and perturbations for distributed systems
17. Contrôlabilité exacte, perturbations et stabalisation de systémes distribués, tome 1
18. Locally distributed control and damping for the conservative systems
19. Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations
20. Unique continuation for weak solutions of the wave equation plus a potential
21. Controllability and stabilizability theory for linear partial differential equations: Recent progress and open questions
22. Boundary controllability for conservative PDEs
23. Boundary observability and controllability for evolution governed by higher order PDE
24. Unique continuation for solutions to PDE's; between Hörmander's theorem and Holmgren's theorem
25. Carleman estimates and unique continuation for solutions to boundary value problems
26. On the observability inequalities for exact controllability of wave equations with variable coefficients
27. Exact controllability of the semilinear distributed parameter system and some related problems
28. Explicit observability estimate for the wave equation with potential and its application
29. Exact controllability of the semilinear plate equations
30. An introduction to exact controllability for distributed systems
31. Exact boundary controllability for the semilinear wave equation
32. Exact controllability for semilinear wave equations in one space dimension
33. Some problems and results on the controllability of partial differential equations