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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1981 Volume 116(158), Number 4(12), Pages 575–584 (Mi sm2486)

This article is cited in 3 papers

Equations of principal type. Sufficient conditions for local solvability

Yu. V. Egorov


Abstract: 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.

UDC: 517.43

MSC: 35S05, 35A05, 35A30

Received: 23.03.1981


 English version:
Mathematics of the USSR-Sbornik, 1983, 44:4, 517–525

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© Steklov Math. Inst. of RAS, 2026