Propagation of Singularities for Non Real Pseudo-Differential Operators

Bernard Lascar; Richard Lascar; Nicolas Lerner

Publications mathématiques et informatique de Rennes (1992-1993)

  • Volume: 64, Issue: 1, page 1-25

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Lascar, Bernard, Lascar, Richard, and Lerner, Nicolas. "Propagation of Singularities for Non Real Pseudo-Differential Operators." Publications mathématiques et informatique de Rennes 64.1 (1992-1993): 1-25. <http://eudml.org/doc/274703>.

@article{Lascar1992-1993,
author = {Lascar, Bernard, Lascar, Richard, Lerner, Nicolas},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {Schrödinger equation; microlocal analysis; tempered distributions; oscillating waves},
language = {eng},
number = {1},
pages = {1-25},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Propagation of Singularities for Non Real Pseudo-Differential Operators},
url = {http://eudml.org/doc/274703},
volume = {64},
year = {1992-1993},
}

TY - JOUR
AU - Lascar, Bernard
AU - Lascar, Richard
AU - Lerner, Nicolas
TI - Propagation of Singularities for Non Real Pseudo-Differential Operators
JO - Publications mathématiques et informatique de Rennes
PY - 1992-1993
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 64
IS - 1
SP - 1
EP - 25
LA - eng
KW - Schrödinger equation; microlocal analysis; tempered distributions; oscillating waves
UR - http://eudml.org/doc/274703
ER -

References

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  1. [1] R. Beals, Characterization of pseudo differential operators, Duke Mathematical Journal42, (1975), 1-42 Zbl0343.35078
  2. [2] J. M. Bony and N. Lerner, Quantification asymptotique et microlocalisations d'ordre supérieur I, Ann. ENS, 4 série, 22, (1989) 377-433. Zbl0753.35005MR1011988
  3. [3] L. Hörmander, The Analysis of Linear Partial Differential Operators III, Springer-Verlag, 274, 1985. Zbl0601.35001MR781536
  4. [4] A. Melin and J. Sjöstrand, Fourier Integral Operators with complexvalued phase function, Lecture Notes in Mathematics, Springer-Verlag, 459, 1975. Zbl0306.42007MR431289
  5. [5] B. Lascar and R. Lascar, Propagation des singularités pour des opérateurs dont la matrice fondamentale contient des valeurs propres non purement imaginaires. Comm. in Partial Differential Equations, 17 (3&4), (1992), 437-446. Zbl0758.35095MR1163432
  6. [6] B. Lascar and J. Sjöstrand, Equation de Schrödinger et propagation pour des o.p.d. à caractéristiques réelles de multiplicité variable II, Comm. in Partial Differential Equations, 10 (5), (1985), 467-523. Zbl0589.58031MR790221
  7. [7] R. Lascar, Propagation des singularités pour des opérateurs à symboles complexes, To appear, Comptes Rendus Acad. Sciences, 1992. 
  8. [8] N. Lerner, A not locally solvable pseudo-differential operator which satisfies the condition (Ψ). To appear in Annals of Maths. 
  9. [9] J. Sjöstrand, Singularités analytiques microlocale, Astérisque95, 1984. 
  10. [10] J. Sjöstrand, Analytic wave front sets and operators with multiple characteristics, Hokkaido Mathematical Journal12 (1983) 392-433. Zbl0531.35022

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