Analytic and Gevrey Hypoellipticity
Publications mathématiques et informatique de Rennes, no. 3 (1985), pp. 57-88.
@article{PSMIR_1985___3_57_0,
     author = {Rodino, Luigi},
     title = {Analytic and Gevrey Hypoellipticity},
     journal = {Publications math\'ematiques et informatique de Rennes},
     pages = {57--88},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {3},
     year = {1985},
     zbl = {0626.35017},
     language = {en},
     url = {http://archive.numdam.org/item/PSMIR_1985___3_57_0/}
}
Rodino, Luigi. Analytic and Gevrey Hypoellipticity. Publications mathématiques et informatique de Rennes, no. 3 (1985), pp. 57-88. http://archive.numdam.org/item/PSMIR_1985___3_57_0/

[1] : M.S. Baouendi-C. Goulaouic"Non analytic-hypoellipticity for some degeoperators, Bull. Amer. Math. Soc. 78 (1972) , 483-486. | MR 296507 | Zbl 0276.35023

[2] : P. Bolley-J. Camus-G. Métivier"Régularité Gevrey et itérés pour une classe d'opérateurs hypoelliptiques", Rend. Sem. Mat. Univ. Politecnico Torino, 40(1982) , to appear. | Zbl 0542.35022

[3] : B. Helffer "Invariants associés à une classe d'opérateurs pseudo différentiels et applications à l'hypoellipticité", Ann. Inst. Fourier, 26(1976) , 55-70. | Numdam | MR 413199 | Zbl 0301.35026

[4] : L. Hörmander"Uniqueness theorems and wave front sets for solutions of near differential equations with analytic coefficients", C.P.A.M., 24 (1971) 671-704. | MR 294849 | Zbl 0226.35019

[5] : L. Hörmander"Fourier integral operators" , I, Acta Math., 127(1971), 79-183. | MR 388463 | Zbl 0212.46601

[6] :L. Hörmander"Spectral analysis of singularities", Seminar on singularities of solutions(1978), Princeton University Press. | Zbl 0446.47045

[7] : L. Hörmander"The analysis of linear partial differential operators", I, II (1983) , Springer-Verlag. | MR 717035 | Zbl 0521.35001

[8] : O. Liess-L. Rodino "A general class of Gevrey-type pseudo differential operators", Journées " E.D.P.", Saint Jean de Monts, 1983. | Numdam | Zbl 0516.35086

[9] : O. Liess-L. Rodino"Inhomogeneous Gevrey classes and related pseudo differential operators", Boll. Un. Mat. It., 4-C (1984), to appear. | MR 749292 | Zbl 0557.35131

[10] : G. Métivier"Analytic hypoellipticity for operators with multiple characteristics", C.P.D.E. , 6 (1981), 1-90. | Zbl 0455.35040

[11] : G. Métivier"Non-hypoellipticité analytique d'opérateurs à caractéristiques doubles", preprint.

[12] : L. Rodino"On the Gevrey wave front set of the solutions of a quasi-elliptic degenerate equation", Rend. Sem. Mat. Univ. Politecn. Torino, 40(1982), to appear. | MR 745986 | Zbl 0557.35014

[13] : J. Sjöstrand"Singularités analytiques microlocales", Astérisque95(1982) 1-166. | MR 699623 | Zbl 0524.35007

[14] : J. Sjöstrand, Rend. Sem. Mat. Univ. Politecn. Torino 40 (1982) , to appear.

[15] : F. Trèves"Analytic hypoellipticity for partial differential equations Of principal type", C.P.A.M., 24 (1971), 537-567. | Zbl 0222.35014

[16] : F. Trèves"Introduction to pseudodifferential and Fourier integral operators" I, II, (1980) , Plenum Press. | MR 597145 | Zbl 0453.47027