Applications of Fourier integral operators

J. J. Duistermaat

Séminaire Équations aux dérivées partielles (Polytechnique) (1971-1972)

  • page 1-24

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Duistermaat, J. J.. "Applications of Fourier integral operators." Séminaire Équations aux dérivées partielles (Polytechnique) (1971-1972): 1-24. <http://eudml.org/doc/111555>.

@article{Duistermaat1971-1972,
author = {Duistermaat, J. J.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {eng},
pages = {1-24},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Applications of Fourier integral operators},
url = {http://eudml.org/doc/111555},
year = {1971-1972},
}

TY - JOUR
AU - Duistermaat, J. J.
TI - Applications of Fourier integral operators
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1971-1972
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 24
LA - eng
UR - http://eudml.org/doc/111555
ER -

References

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  1. [1] J.J. Duistermaat and L. Hörmander: Fourier integral operators II, Acta Math.128, 184-269, (1972). Zbl0232.47055MR388464
  2. [2] J.J. Duistermaat: On Carleman estimates for pseudo-differential operators, to appear in Inventiones Math.. Zbl0242.35069MR407423
  3. [3] Yu. V. Egorov: On canonical transformations of pseudo-differential operators, Uspechi Mat. Nauk25, 235-236, (1969). Zbl0191.43802
  4. [4] Yu. V. Egorov: On non degenerate hypoelliptic pseudo-differential operators, Soviet Math. Dohl10, 697-699, (1969). Zbl0193.38201
  5. [5] Yu. V. Egorov and V.A. Kondratev: The oblique derivative problem. Math. U.S.S.R. Sbornik7, 139-169 (1969). Zbl0186.43202
  6. [6] Yu. V. Egorov: Non-degenerate subelliptic pseudo-differential operators, Mat. Sbornik82, 323-342, (1970). Zbl0197.40702MR268509
  7. [7] L. Hörmander: Linear partial differential operators, Springer, (1963). Zbl0108.09301MR404822
  8. [8] L. Hörmander: Pseudo-differential operators and non-elliptic boundary problems. Ann. Math.83, 129-209, (1966). Zbl0132.07402MR233064
  9. [9] L. Hörmander: Fourier integral operators I, Acta Math.127, 79-183, (1971). Zbl0212.46601MR388463
  10. [10] L. Hörmander: On the existence and regularity of solutions of linear pseudo-differential equations, l'Enseignement Mathématique, IIème série 17, 99-163, (1971). Zbl0224.35084MR331124
  11. [11] P.D. Lax: Asymptotic solutions of oscillatory initial value problems, Duke Math. J.24, 627-646, (1957). Zbl0083.31801MR97628
  12. [12] H. Lévy: An example of a smooth linear partial differential equation without solutions, Ann. Math.66, 155-158, (1957). Zbl0078.08104MR88629
  13. [13] D., Ludwig: Exact and asymptotic solutions of the Cauchy problem, Comm. Pure Appl. Math.13, 473-508, (1960). Zbl0098.29601MR115010
  14. [14] V.P. Maslov: Theory of perturbations and asymptotic methods, Moshov. Gosd. Univ., Moscow, (1965), (Russian). 
  15. [15] L. Nirenberg and F. Trèves: On local solvability of linear partial differential equations I, II, Comm. Pure Appl. Math.23, 1-38 and 459-510, (1970). Zbl0191.39103MR264470
  16. [16] M. Sato, T. Kawal and M. Kashiwara: On pseudo-differential equations in hyper function theory, Lecture Notes of the A.M.S. Summer Institute at Berkeley, August 1971. 
  17. [17] J. Sjöstrand: Sur une classe d'opérateurs pseudo-differentiels de type principal, C. R. Acad. Sc. Paris271, 781-783, (1970). Zbl0199.41801MR291901
  18. [18] J. Sjöstrand: Operators of principal type with interior boundary conditions, to appear in Acta Math.. Zbl0253.35076MR436226

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