On the essential self-adjointness of the general second order elliptic operators

Oleinik, I.

doi:10.1090/S0002-9939-99-04551-7

On the essential self-adjointness of the general second order elliptic operators
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by I. M. Oleinik

Proc. Amer. Math. Soc. 127 (1999), 889-900

DOI: https://doi.org/10.1090/S0002-9939-99-04551-7

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Abstract:

In this paper, we give sufficient conditions for the essential self-adjointness of second order elliptic operators. It turns out that these conditions coincide with those for the Schrödinger operator on a manifold whose metric essentially depends on the principal coefficients of a given operator.

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