This article is cited in 27 papers

Subelliptic operators

Yu. V. Egorov


Abstract: We consider a class of pseudodifferential operators that occupies an intermediate position between the classes of elliptic and hyperbolic operators. We give an adequate description of subelliptic scalar operators in terms of the highest part of the symbol. Our results can be used in the study of boundary value problems for elliptic differential equations.

UDC: 517.4

MSC: 35H20, 35Sxx, 47G30, 35J55, 47F05

Received: 15.06.1974

 English version: Russian Mathematical Surveys, 1975, 30:2, 59–118

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