This article is cited in 16 papers

Hypoelliptic differential equations and pseudodifferential operators with operator-valued symbols

V. V. Grushin


Abstract: Sufficient conditions are established for the hypoellipticity of pseudodifferential operators with operator-valued symbols. These results are used to prove the hypoellipticity of new classes of linear partial differential equations.
Bibliography: 43 titles.

UDC: 517.9

MSC: Primary 35H05, 35S05; Secondary 47G05

Received: 11.06.1971

 English version: Mathematics of the USSR-Sbornik, 1972, 17:4, 497–514

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