Unicité et contrôle pour le système de Lamé

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1. [1] S. Alinhac, Non unicité du problème de Cauchy. Ann. Math. 117 (1983) 77-108. Zbl0516.35018MR683803
2. [2] S. Alinhac et M.S. Baouendi, A non uniqueness result for operators of principal type. Math. Z. 220 (1995) 561-568. Zbl0851.35003MR1363855
3. [3] D. Ang, M. Ikehata, D. Trong et M. Yamampto, Unique continuation for a stationary isotropic Lamé system with variable coefficients. Comm. Partial Differential Equations 23 (1998) 371-385. Zbl0892.35054MR1608540
4. [4] B. Dehman et L. Robbiano, La propriété du prolongement unique pour un système elliptique. Le système de Lamé. J. Math. Pures Appl. 72 (1993) 475-492. Zbl0832.73012MR1239100
5. [5] M. Eller, V. Isakov, G. Nakamura et D. Tataru, Uniqueness and Stability in the Cauchy Problem for Maxwell’ and elasticity systems. Preprint. Zbl1038.35159
6. [6] L. Hörmander, On the uniqueness of the Cauchy problem under partial analy-ticity assumptions. Preprint (1996). Zbl0907.35002MR104924
7. [7] L. Hörmander, Linear partial differential operators. Springer Verlag, Berlin (1963). Zbl0108.09301MR404822
8. [8] L. Hörmander, The analysis of linear partial differential operators, I-III. Springer Verlag. Zbl0601.35001
9. [9] V. Isakov, A non hyperbolic Cauchy problem for ${\square }_a.\square {}_b$ and its applications to elasticity theory. Comm. Pure Math. Appl. 39 (1986) 747-767. Zbl0649.35015MR859272
10. [10] N. Lerner, Unicité de Cauchy pour des opérateurs faiblement principalement normaux. J. Math. Pures Appl. 64 (1985) 1-11. Zbl0579.35012MR802381
11. [11] J.-L. Lions, Contrôlabilité exacte, perturbations et stabilisation des systèmes distribués. Masson, Collection RMA, Paris (1988). Zbl0653.93003
12. [12] L. Robbiano, Théorème d’unicité adapté au contrôle des solutions des problèmes hyperboliques. Comm. Partial Differential Equations 16 (1991) 789-800. Zbl0735.35086
13. [13] L. Robbiano et C. Zuily, Uniqueness in the Cauchy problem for operators with partially holomorphic coefficients. Invent. Math. 131 (1998) 493-539. Zbl0909.35004MR1614547
14. [14] J. Sjöstrand, Singularités analytiques microlocales. Astérisque 95 (1982). Zbl0524.35007MR699623
15. [15] D. Tataru, Unique continuation for solutions to P.D.E’s between Hörmander’s theorem and Holmgren’s theorem. Comm. on P.D.E. 20 (1995) 855-884. Zbl0846.35021
16. [16] C. Zuily, Lectures on uniqueness and non uniqueness in the Cauchy probem. Birkhäuser, Progress in Math. 33 (1983). Zbl0521.35003

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