This article is cited in 1 paper

On local unsolvability and nonhypoellipticity of (pseudo-) differential equations with weighted symbols

N. A. Shananin


Abstract: This paper develops a procedure which enables one to construct microlocal asymptotic solutions of (pseudo-) differential equations with weighted symbols. Some theorems concerning local unsolvability and nonhypoellipticity are proved.
Bibliography: 7 titles.

UDC: 517.946

MSC: Primary 35S05, 35H05, 35A07; Secondary 35A30, 35B45

Received: 19.05.1981

 English version: Mathematics of the USSR-Sbornik, 1984, 47:2, 541–556

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