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On a class of pseudodifferential operators with double characteristics. (English) Zbl 0281.35083

MSC:
35S05 Pseudodifferential operators as generalizations of partial differential operators
47F05 General theory of partial differential operators
58J40 Pseudodifferential and Fourier integral operators on manifolds
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References:
[1] Baovendi, M. S.: Sur une classe d’opérateurs elliptiques dégénérés. Bull. Soc. Math. France.95, 45-87 (1967)
[2] Duistermaat, J.JJ., Sjöstrand, J.: A global construction for pseudodifferential operators with non involutive characteristics. Inventiones Math.20, 209-225 (1973). · Zbl 0282.35071
[3] Duistermaat, J. J., Hörmander, L.: Fourier Integral Operators. II. Acta Math.128, 183-269 (1972). · Zbl 0232.47055
[4] Crushin, V. V., Vishik, M. I.: Elliptic pseudodifferential operators on a closed manifold which degenerate on a submanifold. Dokal. Akad. Nauk SSSR,189, 16-19 (1969) (English transl. in Soviet Math. Dokl.10, 1316-1319 (1969)
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[6] Grushin, V. V.: On a class of hypoelliptic operators. Mat. Sbornik83, (125) (1970) 456-473 (Math. USSR Sbornik12, 458-476 (1970))
[7] Grushin, V. V.: On a class of hypoelliptic pseudodifferential operators degenerate on a submanifold. Mat. Sbornik84, (126) (1971) 111-134 (Math. USSR Sbornik13, 155-185 (1971)) · Zbl 0238.47038
[8] Hörmander, L.: Fourier Integral Operators. I, Acta Math.127, 79-183 (1971) · Zbl 0212.46601
[9] Sjöstrand, J.: Operators of principal type with interior boundary conditions. Acta Math.130, 1-51 (1973). · Zbl 0253.35076
[10] Trèves, F.: Concatenations of second-order evolution equations applied to local solvability and hypoellipticity. To appear in Applied Pure Math. · Zbl 0266.35060
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