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Non unicité de Hölmgren pour des problèmes non linéaires

G. Métivier

Séminaire Équations aux dérivées partielles (Polytechnique) (1992-1993)

  • page 1-10

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Métivier, G.. "Non unicité de Hölmgren pour des problèmes non linéaires." Séminaire Équations aux dérivées partielles (Polytechnique) (1992-1993): 1-10. <http://eudml.org/doc/112050>.

@article{Métivier1992-1993,
author = {Métivier, G.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Cauchy problem},
language = {fre},
pages = {1-10},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Non unicité de Hölmgren pour des problèmes non linéaires},
url = {http://eudml.org/doc/112050},
year = {1992-1993},
}

TY - JOUR
AU - Métivier, G.
TI - Non unicité de Hölmgren pour des problèmes non linéaires
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1992-1993
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 10
LA - fre
KW - Cauchy problem
UR - http://eudml.org/doc/112050
ER -

References

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  3. [AM] S. Alinhac, G. Métivier: propagation de l'analyticité des solutions d'équations nonlinéaires de type principal. Comm. in Partial Diff. Equ., 9 (1984) pp 523-537. Zbl0566.35017MR742507
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  6. [Bo 1] J.M. Bony: Une extension du théorème de Hölmgren sur l'unicité du problème de Cauchy. C.R. Acad. Sci. Paris, 268 (1969) pp 1103-1106. Zbl0172.38001MR241805
  7. [Bo 2] J.M. Bony: Extensions du théorème de Hölmgren. Sém. Goulaouic-Schwartz, École Polytechnique, Année 1975-76. Zbl0336.35003MR474426
  8. [Co] P. Cohen: The non uniqueness of the Cauchy problem. O.N.R. Techn. Report93, Stanford1960. 
  9. [DG] E. De Giorgi: Un esempio di non unicita della soluzione del problema di Cauchy relativo ad una equazione differentiale lineare a derivati parziali di typo parabolico. Rend. Mat.14 (1955) pp 382-387. Zbl0064.34504MR70028
  10. [HT] N. Hanges, F. Treves: On the analyticity of solutions of first order nonlinear PDE. Trans. of the Amer. Math. Soc., 331 (1992), pp 627-638. Zbl0758.35018MR1061776
  11. [Höl] E. Hölmgren: Uber Systeme von linearen partialen Dif ferentialgleichtungen. Öfversigt af Kongl. Vetenskaps-Akad. Foh58 (1901), pp 91-105. JFM32.0357.02
  12. [Hör 1] L. Hörmander: Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients. Comm. on Pure and Appl. Math., 24 (1971) pp 671-704. Zbl0226.35019MR294849
  13. [Hör 1] L. Hörmander: A remark on Hölmgren's uniqueness theorem. J. Diff. Geom., 6 (1971), pp 129-134. Zbl0221.35002MR320486
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  15. [J] F. John: On linear dif ferential equations with analytic coefficients. Unique continuation of data. Comm. on Pure and Appl. Math., 2 (1949) pp 209-253. Zbl0035.34601MR36930
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