Remarks on Holmgren's uniqueness theorem

Lars Hörmander

Annales de l'institut Fourier (1993)

  • Volume: 43, Issue: 5, page 1223-1251
  • ISSN: 0373-0956

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Hörmander, Lars. "Remarks on Holmgren's uniqueness theorem." Annales de l'institut Fourier 43.5 (1993): 1223-1251. <http://eudml.org/doc/75035>.

@article{Hörmander1993,
author = {Hörmander, Lars},
journal = {Annales de l'institut Fourier},
keywords = {Holmgren's uniqueness theorem; analytic wave front set; conormal set},
language = {eng},
number = {5},
pages = {1223-1251},
publisher = {Association des Annales de l'Institut Fourier},
title = {Remarks on Holmgren's uniqueness theorem},
url = {http://eudml.org/doc/75035},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Hörmander, Lars
TI - Remarks on Holmgren's uniqueness theorem
JO - Annales de l'institut Fourier
PY - 1993
PB - Association des Annales de l'Institut Fourier
VL - 43
IS - 5
SP - 1223
EP - 1251
LA - eng
KW - Holmgren's uniqueness theorem; analytic wave front set; conormal set
UR - http://eudml.org/doc/75035
ER -

References

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  1. [1] J. BOMAN, Helgason's support theorem for Radon transforms - a new proof and a generalization, in Mathematical methods in tomography, Springer Lecture Notes in Math., vol. 1497, 1-5, 1991. Zbl0772.44003MR1178765
  2. [2] J. BOMAN, A local vanishing theorem for distributions, C. R. Acad. Sci. Paris, 315 (1992), 1231-1234. Zbl0785.46039MR93j:46044
  3. [3] J. BOMAN, Holmgren's uniqueness theorem and support theorems for real analytic Radon transforms, Contemporary Mathematics, 140 (1992), 23-30. Zbl0791.44003MR93k:44001
  4. [4] T. CARLEMAN, Les fonctions quasianalytiques, Gauthier-Villars, Paris, 1926. JFM52.0255.02
  5. [5] E. HOLMGREN, Über Systeme von linearen partiellen Differentialgleichungen. Öfversigt af Kongl, Vetenskaps-Akad. Förh., 58 (1901), 91-103. JFM32.0357.02
  6. [6] L. HÖRMANDER, Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients, Comm. Pure Appl. Math., 24 (1971), 671-704. Zbl0226.35019MR45 #3917
  7. [7] L. HÖRMANDER, The analysis of linear partial differential operators I, IV, Springer Verlag, 1983, 1985. Zbl0612.35001
  8. [8] L. HÖRMANDER, A uniqueness theorem for second order hyperbolic differential equations, Comm. Partial Diff. Equations, 17 (1992), 699-714. Zbl0815.35063MR93h:35116
  9. [9] F. JOHN, On linear differential equations with analytic coefficients. Unique continuation of data, Comm. Pure Appl. Math., 2 (1949), 209-253. Zbl0035.34601MR12,185d
  10. [10] A. KANEKO, Introduction to hyperfunctions, Kluwer Academic Publishers, Dordrecht, Boston, London, 1988. Zbl0687.46027
  11. [11] T. KAWAI, On the theory of Fourier hyperfunctions and its application to partial differential equations with constant coefficients, J. Fac. Sci. Tokyo, 17 (1970), 467-517. Zbl0212.46101MR45 #7252
  12. [12] L. ROBBIANO, Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques, Comm. Partial Diff. Equations, 16 (1991), 789-800. Zbl0735.35086MR92j:35002
  13. [13] M. SATO, T. KAWAI and M. KASHIWARA, Hyperfunctions and pseudodifferential equations, in Springer Lecture Notes in Math., vol. 287 (1973), 265-529. Zbl0277.46039MR54 #8747
  14. [14] R. SIGURDSSON, Growth properties of analytic and plurisubharmonic functions of finite order, Math. Scand., 59 (1986), 235-304. Zbl0619.32003MR88m:32002

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