Exact boundary controllability of electromagnetic fields in a general region

Applied Mathematics and Optimization

Volumn 45, Issue 1, 2002, Pages 99-123

  Eller, M M ^a   Masters, J E ^b  

^a GEORGETOWN UNIVERSITY   (United States)

^b CYCORP INC   (United States)

Author keywords

Continuous observability inequalities; Exact boundary controllability; Maxwell's system

Indexed keywords

BOUNDARY CONDITIONS;

CONTINUOUS OBSERVABILITY INEQUALITIES; EXACT BOUNDARY CONTROLLABILITY; MAXWELL'S SYSTEM;

ELECTROMAGNETIC FIELD EFFECTS;

EID: 23944464441     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-001-0030-x     Document Type: Article

References (19)

1. [BLR] C. Bardos, G. Lebeau, J. Rauch, Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary, SIAM J. Control Optim., 30 (1992), 1024-1065.
2. [C] M. Cessenat, Mathematical Methods in Electromagnetism, World Scientific, River Edge, NJ, 1996.
3. [DL] R. Dautray, J.L. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 3, Springer-Verlag, New York, 1990.
4. [E] M. Eller, Uniqueness of continuation theorems, in Direct and Inverse Problems of Mathematical Physics (R. P. Gilbert, J. Kajiwara, Y. S. Xu, eds.), Kluwer, Dordrecht, 2000, pp. 53-105.
5. [G] P. Grisvard, Caracterisation de quelques espaces d'interpolation, Arch. Rational Mech. Anal., 26 (1967), 40-63.
6. [H] L. Hörmander, The Analysis of Linear Partial Differential Operators, III, Springer-Verlag, New York, 1983.
7. [l] V. Isakov, Inverse Problems in Partial Differential Equations, Springer-Verlag, New York, 1997.
8. [Ka] B. Kapitonov, Stabilization and exact boundary controllability for Maxwell's equations, SIAM J. Control Optim., 32(2) (1994), 408-420.
9. [Ko] V. Komornik, Exact Controllability and Stabilization, Wiley, Chichester, 1994.
10. [L] J. Lagnese, Exact controllability of Maxwell's equations in a general region, SIAM J. Control Optim., 27(2) (1989), 374-388.
11. [LT] I. Lasiecka, R. Triggiani, Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions, Appl. Math. Optim., 25 (1992), 189-224.
12. [LTY] I. Lasiecka, R. Triggiani, P. Yao, Inverse/observability estimates for second order hyperbolic equations with variable coefficients, J. Math. Anal. Appl., 235 (1999), 13-57.
13. [LM] J.L. Lions, E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, Vol. 1, Springer-Verlag, New York, 1972.
14. [M] J. Masters, Exact boundary controllability and uniform stabilization of solenoidal electromagnetic fields in a bounded region without geometrical conditions, Ph.D. dissertation, University of Virginia, 2000.
15. [Ph] K. Phung, Controle el stabilisation d'ondes eletromagnetetiques, ESIAM: Control Optim. Calculus Variations, 5 (2000), 87-137.
16. [Pi] C. Pignotti, Observability and controllability of Maxwell's equations, Rend. Mat. (7), 19 (2000), 523-546.
17. [TL] A. Taylor, D. Lay, Introduction to Functional Analysis, Krieger, Malabar, FL, 1980.
18. [W] N. Weck, Exact boundary controllability of a Maxwell problem, SIAM J. Control Optim., 38(3) (2000), 736-750 (electronic).
19. [WRL] J. Wloka, B. Rowley, B. Lawruk, Boundary Value Problems for Elliptic Systems, Cambridge University Press, Cambridge, 1995.