On the strong extremum principle for a D-$(\Pi,\Omega)$-elliptically connected operator of second order

L. I. Kamynin, B. N. Khimchenko


Abstract: In this paper the strong extremum principle is proved for a certain new class of second order operators with nonnegative characteristic form, without requiring the smoothness of their coefficients, which is essential in the converse of Rashevskii's theorem on completely nonholonomic systems.
Bibliography: 19 titles.

UDC: 517.947.42

MSC: Primary 47E05; Secondary 47B99

Received: 30.10.1978 and 20.06.1979

 English version: Mathematics of the USSR-Sbornik, 1981, 40:1, 21–50

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