L'unicité du problème de Cauchy : entre Holmgren et Hörmander

L. Robbiano; C. Zuily

Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996)

  • page 1-9

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Robbiano, L., and Zuily, C.. "L'unicité du problème de Cauchy : entre Holmgren et Hörmander." Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996): 1-9. <http://eudml.org/doc/112125>.

@article{Robbiano1995-1996,
author = {Robbiano, L., Zuily, C.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Holmgren's Theorem; Sjöstrand's formalism},
language = {fre},
pages = {1-9},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {L'unicité du problème de Cauchy : entre Holmgren et Hörmander},
url = {http://eudml.org/doc/112125},
year = {1995-1996},
}

TY - JOUR
AU - Robbiano, L.
AU - Zuily, C.
TI - L'unicité du problème de Cauchy : entre Holmgren et Hörmander
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1995-1996
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 9
LA - fre
KW - Holmgren's Theorem; Sjöstrand's formalism
UR - http://eudml.org/doc/112125
ER -

References

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  1. [AB] S. Alinhac-M.S. Baouendi: A non uniqueness result for operators of principal type, Math. Z.220 (1995), 561-568. Zbl0851.35003MR1363855
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  3. [H2] L. Hörmander: Quadratic hyperbolic operators, Springer Lecture Notes Math. 1495 (1991), 118-160. Zbl0761.35004MR1178557
  4. [H3] L. Hörmander: A uniqueness theorem for second order hyperbolic differential equations, Comm on P.D.E. 17 (1982), 699-714. Zbl0815.35063MR1177289
  5. [H4] L. Hörmander: On the uniqueness of the Cauchy problem under partial analyticity assumptions, Preprint (1996). Zbl0907.35002MR2033496
  6. L1] N. Lerner: Unicité de Cauchy pour des opérateurs faiblement principalement normaux, J. Math. Pures Appl.64 (1985), 1-11. Zbl0579.35012MR802381
  7. L2] N. Lerner: Uniqueness for an ill-posed problem, Journal of Diff. Equations71 (1988), 255-260. Zbl0699.35162MR927001
  8. [Li] J.-L. Lions: Contrôlabilité exacte, perturbations et stabilisation des systèmes distribués, Masson, Collection RMA, Paris (1988). 
  9. [RT] J. Rauch- M. Taylor: Penetrations in shadow regions and unique continuation properties in hyperbolic mixed problems, Indiana Univ. Math. J.22 (1972), 277-285. Zbl0227.35064MR303098
  10. [R] L. Robbiano: Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques, Comm. on P.D.E. 16 (1991), 789-800. Zbl0735.35086MR1113107
  11. [RoZ] L. Robbiano- C. Zuily: Uniqueness in the Cauchy problem for operators with partially holomorphic coefficients, Prépublications Univ. Paris-Sud96-37. Zbl0909.35004
  12. [S1] J. Sjöstrand: Singularités analytiques microlocales, Astérisque95 (1982). Zbl0524.35007MR699623
  13. [S2] J. Sjöstrand: Fonction spaces associated to global I-Lagrangian manifolds, Prépublication n° 1111, Ecole Polytechnique (1995). Zbl0889.46027MR1445350
  14. [T] D. Tataru: Unique continuation for solutions to PDE's: between Hörmander's theorem and Holmgren's theorem, Comm. on P.D.E. 20 (1995), 855-884. Zbl0846.35021MR1326909
  15. [Z] C. Zuily: Lectures on uniqueness and non uniqueness in the Cauchy problem, Progress in math. 33, Birkhäuser, (1983). Zbl0521.35003MR701544

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