Autour du théorème de Holmgren sur l'unicité de Cauchy

X. Saint-Raymond

Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984)

  • page 1-11

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Saint-Raymond, X.. "Autour du théorème de Holmgren sur l'unicité de Cauchy." Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984): 1-11. <http://eudml.org/doc/111848>.

@article{Saint1983-1984,
author = {Saint-Raymond, X.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Holmgren theorem; Cauchy problem; uniqueness},
language = {fre},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Autour du théorème de Holmgren sur l'unicité de Cauchy},
url = {http://eudml.org/doc/111848},
year = {1983-1984},
}

TY - JOUR
AU - Saint-Raymond, X.
TI - Autour du théorème de Holmgren sur l'unicité de Cauchy
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1983-1984
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - fre
KW - Holmgren theorem; Cauchy problem; uniqueness
UR - http://eudml.org/doc/111848
ER -

References

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  1. [1] Baouendi M.S., Trèves F. et Zachmanoglou E.C.: Flat solutions and singular solutions of homogeneous linear partial differential equations with analytic coefficients. Duke math. J.46, 409-440 (1979). Zbl0418.35003MR534059
  2. [2] Saint-Raymond X.: Non unicité de Cauchy pour des opérateurs principalement normaux, à paraître dansIndiana Univ. Math. J. (1984). Zbl0567.35004MR763945
  3. [3] Sjöstrand J.: Singularités analytiques microlocales. Astérisque n°95 (1982). Zbl0524.35007MR699623
  4. [4] Strauss M. et Trèves F.: First order linear pde's and uniqueness in the Cauchy problem. J. of diff. equ.15, 195-209 (1974) (voir aussi Cardoso F. et Hounie J.: même titre. J. of diff. equ.33, 239-248 (1979)). Zbl0266.35009MR330739
  5. [5] Zachmanoglou E.C.: Non-uniqueness of the Cauchy problem for linear partial differential equations with variable coefficients. Arch. Rat. Mech. Anal.27, 373-384 (1968). Zbl0159.38502MR223736
  6. [6] Zachmanoglou E.C.: Propagation of zeroes and uniqueness in the Cauchy problem for first order partial differential equations, Arch. Rat. Mech. Anal.38, 178-188 (1970). Zbl0199.15903MR261150

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