This article is cited in 1 paper

On local unsolvability of differential equations with weighted derivatives

N. A. Shananin


Abstract: In this paper a local unsolvability theorem is proved for differential equations with weighted derivatives that generalize the class of equations of principal type. In contrast to the latter, here the lower terms have an essential influence on local solvability. In this paper a one-parameter family of hamiltonians is constructed that plays the same role as the principal symbol for equations of principal type, and conditions on the behavior of this family are indicated under which there is no local solvability.
Bibliography: 6 titles.

UDC: 517.946

MSC: 35R99

Received: 22.03.1979

 English version: Mathematics of the USSR-Sbornik, 1981, 39:3, 417–428

Bibliographic databases:

• 
• 
•