The propagation of singularities for pseudo-differential operators with self-tangential characteristics

N. Dencker

Séminaire Équations aux dérivées partielles (Polytechnique) (1987-1988)

  • page 1-14

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Dencker, N.. "The propagation of singularities for pseudo-differential operators with self-tangential characteristics." Séminaire Équations aux dérivées partielles (Polytechnique) (1987-1988): 1-14. <http://eudml.org/doc/111936>.

@article{Dencker1987-1988,
author = {Dencker, N.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {singularities; characteristics; Levi condition},
language = {eng},
pages = {1-14},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {The propagation of singularities for pseudo-differential operators with self-tangential characteristics},
url = {http://eudml.org/doc/111936},
year = {1987-1988},
}

TY - JOUR
AU - Dencker, N.
TI - The propagation of singularities for pseudo-differential operators with self-tangential characteristics
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1987-1988
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 14
LA - eng
KW - singularities; characteristics; Levi condition
UR - http://eudml.org/doc/111936
ER -

References

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  1. 1 S. Alinhac, A class of hyperbolic operators with double involutive characteristics of Fuchsian type, Comm. Partial Differential Equations3 (1978), 877-905. Zbl0389.35049MR507121
  2. 2 J. Chazarain, Propagation des singularités pour une classe d'opérateurs à caractéristiques multiples et résolubilité locale, Ann. Inst. Fourier (Grenoble) 24 (1974), 203-223. Zbl0274.35007MR390513
  3. 3 N. Dencker, On the propagation of polarization sets for systems of real principal type, J. Funct. Anal.46 (1982), 351-372. Zbl0487.58028MR661876
  4. 4 L. Hörmander, The Weyl calculus of pseudo-dimentional operators, Comm. Pure Appl. Math.32 (1979), 359-443. Zbl0388.47032MR517939
  5. 5, "The Analysis of Linear Partial Differential Operators I-IV", Springer Verlag, Berlin, 1985. 
  6. 6 V. Ja. Ivrii, Wave fronts of solutions of symmetric pseudodifferential systems, Sibirsk. Mat. Ž.20 (1979), 557-578. (Russian, english translation in Sibirian Math. J.20 (1979), 390-405) Zbl0453.35091MR537362
  7. 7, Wave fronts of solutions of certain hyperbolic pseudodifferential equations, Trudy Moskov. Mat. Obsc.39 (1979), 83-112. (Russian, english translation in Trans. Moscow Math. Soc.1981:1, 87-119) Zbl0461.35089MR544942
  8. 8 H. Kumano-go and K. Taniguchi, Fourier integral operators of multi-phase and the fundamental solution for a hyperbolic system, Funkcial Ekvac.22 (1979), 161-196. Zbl0568.35092MR556576
  9. 9 R. Lascar, Propagation des singularités pour une classe d'opérateurs pseudo-différentiels à caracteristiques de multiplicité variable, C. R. Acad. Sci. Paris Sér. A283 (1976), 341-343. Zbl0358.58012MR426064
  10. 10 R.B. Melrose and G.A. Uhlmann, Microlocal structure of involutive conical refraction, Duke Math. J.46 (1979), 571-582. Zbl0422.58026MR544247
  11. 11 Y. Morimoto, Fundamental solution for a hyperbolic equation with involutive characteristics of variable multiplicity, Comm. Partial Differential Equations4 (1979), 609-643. Zbl0447.35052MR532579
  12. 12 J.C. Nosmas, Parametrix du problème de Cauchy pour une classe de systèmes hyperboliques symétrisables à caracteristiques involutives de multiplicité variable, Comm. Partial Differential Equations5 (1980), 1-22. Zbl0437.35045MR556452
  13. 13 G.A. Uhlmann, Pseudo- differential operators with involutive double characteristics, Comm. Partial Differential Equations2 (1977), 713-779. Zbl0389.35047MR493009
  14. 14, Parametrices for operators with multiple involutive characteristics, Comm. Partial Differential Equations4 (1979), 739-767. Zbl0429.35075MR535066
  15. 15 S. Wakabayashi, Singularities of solutions of the Cauchy problems for operators with nearly constant coefficient hyperbolic principal part, Comm. Partial Differential Equations8 (1983), 347-406. Zbl0532.35047MR693646
  16. 16, Singularities of solutions of the Cauchy problem for symmetric hyperbolic systems, Comm. Partial Differential Equations9 (1984), 1147-1177. Zbl0575.35054MR761799

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