Résultats d'unicité de Cauchy instable dans des situations où la condition de pseudo-convexité dégénère

Xavier Saint Raymond

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1986)

  • Volume: 13, Issue: 4, page 661-687
  • ISSN: 0391-173X

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Saint Raymond, Xavier. "Résultats d'unicité de Cauchy instable dans des situations où la condition de pseudo-convexité dégénère." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 13.4 (1986): 661-687. <http://eudml.org/doc/83993>.

@article{SaintRaymond1986,
author = {Saint Raymond, Xavier},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {uniqueness; non-uniqueness; Cauchy problem; real principal type; noncharacteristic oriented surface; bicharacteristic curves; compact uniqueness; principally normal operators},
language = {fre},
number = {4},
pages = {661-687},
publisher = {Scuola normale superiore},
title = {Résultats d'unicité de Cauchy instable dans des situations où la condition de pseudo-convexité dégénère},
url = {http://eudml.org/doc/83993},
volume = {13},
year = {1986},
}

TY - JOUR
AU - Saint Raymond, Xavier
TI - Résultats d'unicité de Cauchy instable dans des situations où la condition de pseudo-convexité dégénère
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1986
PB - Scuola normale superiore
VL - 13
IS - 4
SP - 661
EP - 687
LA - fre
KW - uniqueness; non-uniqueness; Cauchy problem; real principal type; noncharacteristic oriented surface; bicharacteristic curves; compact uniqueness; principally normal operators
UR - http://eudml.org/doc/83993
ER -

References

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  1. [1] S. Alinhac, Non unicité du problème de Cauchy, Ann. of Math., 117, (1983), pp. 77-108. Zbl0516.35018MR683803
  2. [2] S. Alinhac, Unicité du problème de Cauchy pour des opérateurs du second ordre à symboles réels, Ann. Inst. Fourier Grenoble, 34 (2) (1984), pp. 89-109. Zbl0507.35001MR746497
  3. [3] S. Alinhac, Uniqueness and nonuniqueness in the Cauchy problem, Contemp. Mathematics, 27 (1984), pp. 1-22. Zbl0574.35002MR741036
  4. [4] S. Alinhac - M.S. Baouendi, Construction de solutions nulles et singulières pour des opérateurs de type principal, Sém. Goulaouic-Schwartz 1978-79, exposé n. XXII (Ecole Polytechnique, Paris). Zbl0427.35082MR557533
  5. [5] H. Bahouri, Unicité et non unicité du problème de Cauchy pour des opérateurs à symbole principal réel, Thèse de 3ème cycle, Orsay, 1982, et Comm. in PDE'S, 8 (1983), pp. 1521-1547. Zbl0539.35002MR728872
  6. [6] A.P. Calderón, Existence and uniqueness theorems for systems of partial differential equations, Proc. Sympos. Fluid Dynamics and Appl. Math. (Univ. of Maryland, 1961), Gordon & Breach, New York (1962), pp. 147-195. Zbl0147.08202MR156078
  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, Vol. IV, Springer Verlag, Berlin, 1985. Zbl0601.35001
  9. [9] N. Lerner - L. Robbiano, Unicité de Cauchy pour des opérateurs de type principal, Sém. Goulaouic-Meyer-Schwartz 1983-84, exposé n. IX (Ecole Polytechnique, Paris), J. d'Analyse Math., 44 (1984-85), pp. 32-66. Zbl0574.35003MR801286
  10. [10] L. Nirenberg, Uniqueness in the Cauchy problem for a degenerate elliptic second order equation, preprint. Zbl0572.35043MR780047
  11. [11] X. Saint Raymond, L'unicité pour des problèmes de Cauchy caractéristiques, Comm. in PDE's, 7 (1982), pp. 559-579. Zbl0499.35027MR653578
  12. [12] X. Saint Raymond, L'unicité pour les problèmes de Cauchy linéaires du premier ordre, L'Enseign. Math., 32 (1986), pp. 1-55. Zbl0625.35009MR850550
  13. [13] E.C. Zachmanoglou, Nonuniqueness of the Cauchy problem for linear partial differential equations with variable coefficients, Arch. Rational Mech. Anal., 27 (1968), pp. 373-384. Zbl0159.38502MR223736
  14. [14] E.C. Zachdianoglou, Uniqueness of the Cauchy problem for linear partial differential equations with variable coefficients, Trans. Amer. Math. Soc., 136 (1969), pp. 517-526. Zbl0174.41401MR239263
  15. [15] C. Zuily, Uniqueness and nonuniqueness in the Cauchy problem, Progr. Math., vol. 33, Birkhäuser, Boston, 1983. Zbl0521.35003MR701544

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