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

Author: I. M. Oleinik
Journal: Proc. Amer. Math. Soc. 127 (1999), 889-900
MSC (1991): Primary 58G03; Secondary 35J10
MathSciNet review: 1468201
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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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Additional Information

I. M. Oleinik
Affiliation: Department of Mathematics, Northeastern University, Boston, Massachusetts 02115
Address at time of publication: PCI Services, Inc., 30 Winter Street, 12th Floor, Boston, Massachusetts 02108

Received by editor(s): May 20, 1996
Received by editor(s) in revised form: June 4, 1997
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 1999 American Mathematical Society