This article is cited in 4 papers

On local solvability of equations of quasi-principal type

N. A. Shananin


Abstract: 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.

UDC: 517.43

MSC: Primary 35A05; Secondary 35D05, 47F05, 47G05

Received: 24.06.1974

 English version: Mathematics of the USSR-Sbornik, 1975, 26:4, 458–470

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