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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.
Received: 30.10.1978 and 20.06.1979
Citation:
L. I. Kamynin, B. N. Khimchenko, “On the strong extremum principle for a D-$(\Pi,\Omega)$-elliptically connected operator of second order”, Math. USSR-Sb., 40:1 (1981), 21–50
Linking options:
https://www.mathnet.ru/eng/sm2711https://doi.org/10.1070/SM1981v040n01ABEH001634 https://www.mathnet.ru/eng/sm/v154/i1/p24
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