On hypoelliptic operators with double characteristics

A. Menikoff

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1977)

  • Volume: 4, Issue: 4, page 689-724
  • ISSN: 0391-173X

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Menikoff, A.. "On hypoelliptic operators with double characteristics." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 4.4 (1977): 689-724. <http://eudml.org/doc/83767>.

@article{Menikoff1977,
author = {Menikoff, A.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {689-724},
publisher = {Scuola normale superiore},
title = {On hypoelliptic operators with double characteristics},
url = {http://eudml.org/doc/83767},
volume = {4},
year = {1977},
}

TY - JOUR
AU - Menikoff, A.
TI - On hypoelliptic operators with double characteristics
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1977
PB - Scuola normale superiore
VL - 4
IS - 4
SP - 689
EP - 724
LA - eng
UR - http://eudml.org/doc/83767
ER -

References

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  1. [1] L. Boutet De Monvel, Hypoelliptic operators with double characteristics and related pseudo-differential operators, Comm, Pure Appl. Math., 27 (1974), pp. 585-639. Zbl0294.35020MR370271
  2. [2] A. Calderon - R. Vaillancourt, A class of bounded pseudo-differential operators, Proc. Nat. Acad. Sci. U.S.A., 69 (1972), pp. 1185-1187. Zbl0244.35074MR298480
  3. [3] F. Cardoso - F. Treves, A necessary condition of local solvability for pseudodifferential equations with double characteristics, Ann. Inst. Fourier, 24 (1974), pp. 225-292. Zbl0273.35058MR350233
  4. [4] J. Duistermaat - L. Hörmander, Fourier Integral Operators - II, Acta Math., 128 (1972), pp. 183-269. Zbl0232.47055MR388464
  5. [5] L. Hörmander, Linear Partial Differential Operators, Springer-Verlag, Berlin, 1969. Zbl0175.39201MR248435
  6. [6] L. Hörmander, Hypoelliptic second order differential equations, Acta Math., 119 (1967), 147-171. Zbl0156.10701MR222474
  7. [7] L. Hörmander, Pseudo-differential operators and hypoelliptic equations, A.M.S. Proc. Symp. Pure Math., 10 (1967), pp. 138-183. Zbl0167.09603MR383152
  8. [8] L. Hörmander, Fourier Integral Operators - I, Acta Math., 127 (1971), pp. 79-183. Zbl0212.46601MR388463
  9. [9] L. Hörmander, A class of hypoelliptic pseudo-differential operators with double characteristics, Math. Ann., 217 (1975), pp. 165-188. Zbl0306.35032MR377603
  10. [10] W. Magnus - F. Oberhettinger - R. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, Springer-Verlag, New York, 1966. Zbl0143.08502MR232968
  11. [11] L. Rothschild - E. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math. 137 (1976), pp. 241-320. Zbl0346.35030MR436223
  12. [12] R. Rubenstein, Local solvability of the operator utt + ia(t)ux + b(t) ut + c(t)u, J. Diff. Equ., 14 (1973), pp. 185-194. Zbl0262.35046MR333495
  13. [13] P. Weston, A. necessary condition for the local solvability of the operator P 2m(x, D) + P2m-1(x, D), (to appear). Zbl0356.35011
  14. [14] J. Sjöstrand, Parametrices for pseudodifferential operators with multiple characteristics, Ark. für Math., 12 (1974), pp. 85-130. Zbl0317.35076MR352749

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