Geodesic
On local solvability of equations of quasi-principal type
Sbornik. Mathematics, Tome 26 (1975) no. 4, pp. 458-470 
N. A. Shananin. On local solvability of equations of quasi-principal type. Sbornik. Mathematics, Tome 26 (1975) no. 4, pp. 458-470. http://geodesic.mathdoc.fr/item/SM_1975_26_4_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The question of local solvability for a certain class of partial differential equations is considered. For this class a local parametrix is constructed , the points of singularity of the corresponding kernel of the integral operator are indicated, and the boundedness of the operator realizing the parametrix is demonstrated. Local solvability is then established on the basis of these results. Bibliography: 12 titles.

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[2] L. Khërmander, “Psevdodifferentsialnye operatory i gipoellipticheskie uravneniya”, Psevdodifferentsialnye operatory, Mir, M., 1967, 297–367 | MR

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[7] F. Treves, “Hypoelliptic partial differential equations of principal type”, Comm. Pure Appl. Math., 24 (1971), 631–670 | DOI | MR | Zbl

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[9] V. P. Maslov, Operatornye metody, Nauka, M., 1973 | MR

[10] L. Khërmander, Lineinye differentsialnye operatory s chastnymi proizvodnymi, Mir, M., 1965 | MR

[11] L. Khërmander, “Integralnye operatory Fure, I”, Matematika, 16:1 (1972), 17–61 | Zbl

[12] V. V. Grushin, “Ob odnom klasse ellipticheskikh psevdodifferentsialnykh operatorov, vyrozhdayuschikhsya na podmnogoobrazii”, Matem. sb., 84(126) (1971), 163–195 | Zbl