Solubility on compact subsets for differential equations with real principal pencil of symbols

N. A. Shananin

Peoples Friendship University of Russia

Abstract: The central result is a theorem on the solubility on compact subsets for differential equations of quasiprincipal type with real principal pencil of symbols. The proof is based on the analysis of the microlocal structure of the singularities of solutions of equations in this class.
Bibliography: 11 titles.

Keywords: distribution, wavefront set, solvability.

UDC: 517.85

MSC: Primary 35A07; Secondary 35A30

Received: 29.10.2004

DOI: 10.4213/sm1515

 English version: Sbornik: Mathematics, 2006, 197:2, 281–302

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