Equations of principal type. Sufficient conditions for local solvability
Sbornik. Mathematics, Tome 44 (1983) no. 4, pp. 517-525 Cet article a éte moissonné depuis la source Math-Net.Ru

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A proof of a general theorem on sufficient conditions for local solvability is given. This theorem generalizes known results of Hörmander, Nirenberg, Treves, Beals, Fefferman, and the author. The method of proof gives a simple geometric interpretation of the complicated analytical conditions, and can be used in studying a broad range of problems. Bibliography: 15 titles.
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     title = {Equations of principal type. {Sufficient} conditions for local solvability},
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Yu. V. Egorov. Equations of principal type. Sufficient conditions for local solvability. Sbornik. Mathematics, Tome 44 (1983) no. 4, pp. 517-525. http://geodesic.mathdoc.fr/item/SM_1983_44_4_a9/

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[9] Egorov Yu. V., “O dostatochnykh usloviyakh lokalnoi razreshimosti psevdodifferentsialnykh uravnenii glavnogo tipa”, Trudy Mosk. matem. ob-va, 31 (1974), 59–84

[10] Egorov Yu. V., “Subellipticheskie operatory”, UMN, XXX:3 (1975), 57–114

[11] Egorov Yu. V., “Novoe dokazatelstvo teoremy o lokalnoi razreshimosti uravnenii s prostymi kharakteristikami”, UMN, 32:2 (1977), 183–184 | Zbl

[12] Egorov Yu. V., “Ob usloviyakh razreshimosti differentsialnykh uravnenii s prostymi kharakteristikami”, DAN SSSR, 223:6 (1976), 1310–1312

[13] Egorov Yu. V., “O lokalnykh svoistvakh psevdodifferentsialnykh operatorov s prostymi veschestvennymi kharakteristikami”, Trudy Vsesoyuznoi Konferentsii po uravneniyam s chastnymi proizvodnymi, 1978, 111–113, MGU, M.

[14] Calderon A. P., Vaillancourt R., “On the boundedness of pseudo-differential operators”, J. Math. Soc. Japan, 23 (1971), 374–378 | MR | Zbl

[15] Egorov Yu. V., “Kanonicheskie preobrazovaniya i psevdodifferentsialnye operatory”, Trudy Mosk. matem. ob-va, 24 (1971), 3–28 | Zbl