Microlocal analysis for spatially inhomogeneous pseudo differential operators

Luigi Rodino

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1982)

  • Volume: 9, Issue: 2, page 211-253
  • ISSN: 0391-173X

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Rodino, Luigi. "Microlocal analysis for spatially inhomogeneous pseudo differential operators." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 9.2 (1982): 211-253. <http://eudml.org/doc/83880>.

@article{Rodino1982,
author = {Rodino, Luigi},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {wave front set; local solvability; micro-hypoellipticity; Fourier integral operator},
language = {eng},
number = {2},
pages = {211-253},
publisher = {Scuola normale superiore},
title = {Microlocal analysis for spatially inhomogeneous pseudo differential operators},
url = {http://eudml.org/doc/83880},
volume = {9},
year = {1982},
}

TY - JOUR
AU - Rodino, Luigi
TI - Microlocal analysis for spatially inhomogeneous pseudo differential operators
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1982
PB - Scuola normale superiore
VL - 9
IS - 2
SP - 211
EP - 253
LA - eng
KW - wave front set; local solvability; micro-hypoellipticity; Fourier integral operator
UR - http://eudml.org/doc/83880
ER -

References

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  1. [1] R. Beals, Spatially inhomogeneous pseudodifferential operators, II, Comm. Pure Appl. Math., 27 (1974), pp. 161-205. Zbl0283.35071MR467397
  2. [2] R. Beals, A. general calculus of pseudodifferential operators, Duke Math. J., 42 (1975), pp. 1-42. Zbl0343.35078MR367730
  3. [3] R. Beals, Characterization of pseudodifferential operators and applications, Duke Math. J., 44 (1977), pp. 45-57. Zbl0353.35088MR435933
  4. [4] R. Beals, Lp and Hölder estimates for pseudodifferential operators : sufficient conditions, Ann. Inst. Fourier (Grenoble), 29 (1979), pp. 239-260. Zbl0387.35065MR552967
  5. [5] R. Beals - C. Fefferman, Spatially inhomogeneous pseudodifferential operators, I, Comm. Pure Appl. Math., 27 (1974), pp. 1-24. Zbl0279.35071MR352747
  6. [6] V.V. Grushin - N.A. Sananin, Some theorems on the singularities of solutions of differential equations with weighted principal symbol, Mat. Sb., 103 (1977), pp. 37-51; Math. USSR Sb., 32 (1977), pp. 32-44. Zbl0386.35012MR442450
  7. [7] L. Hörmander, Fourier integral operators, I, Acta Math., 121 (1971), pp. 79-183. Zbl0212.46601MR388463
  8. [8] L. Hörmander, On the existence and the regularity of solutions of linear pseudodifferential equations, Enseignement Math., 17 (1971), pp. 99-163. Zbl0224.35084MR331124
  9. [9] L. Hörmander, The Weyl calculus of pseudo-differential operators, Comm. Pure Appl. Math., 32 (1979), pp. 359-443. Zbl0388.47032MR517939
  10. [10] R. Lascar, Propagation des singularites des solutions d'equations pseudo-différentielles quasi-homogènes, Ann. Inst. Fourier (Grenoble), 27 (1977), pp. 79-123. Zbl0349.35079MR461592
  11. [11] A. Nagel - E.M. Stein, A new class of pseudo-differential operators, Proc. Nat. Acad. Sci. U.S.A., 75 (1978), pp. 582-585. Zbl0376.35053MR487603
  12. [12] A. Nagel - E.M. Stein, Lectures on pseudo-differential operators, Princeton University Press (1979), Princeton. Zbl0415.47025MR549321
  13. [13] C. Parenti - L. Rodino, A pseudo differential operator which shifts the wave front set, Proc. Amer. Math. Soc., 72 (1978), pp. 251-257. Zbl0377.35064MR507317
  14. [14] C. Parenti - L. Rodino, On general pseudodifferential operators, Comm. Partial Diff. Equat., 5 (1980), pp. 561-594. Zbl0433.35075MR578046
  15. [15] C. Parenti - L. Rodino, Examples of hypoelliptic operators which are not micro-hypoelliptic, Boll. Un. Mat. Ital., 17-B (1980), pp. 390-409. Zbl0407.35074MR572609
  16. [16] C. Parenti - L. Rodino, Parametrices for a class of pseudo differential operators, I, II, Ann. Mat. Pura Appl., 125 (1980), pp. 221-278. Zbl0406.35066MR605210
  17. [17] C. Parenti - F. Segala, Propagation and reflection of singularitie8 for a class of evolution equations, Comm. Partial Diff. Equat., 6 (1981). Zbl0496.35082MR623644
  18. [18] F. Trèves, Introduction to pseudodifferential and Fourier integral operators, voll. 1, 2, Plenum Publishing Corporation (1980), New York. Zbl0453.47027MR597144

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