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

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**127**(1999), 889-900 Request permission

## 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.## References

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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
- Email: oleinik@neu.edu, igoro@pciwiz.com
- Received by editor(s): May 20, 1996
- Received by editor(s) in revised form: June 4, 1997
- Communicated by: Christopher D. Sogge
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**127**(1999), 889-900 - MSC (1991): Primary 58G03; Secondary 35J10
- DOI: https://doi.org/10.1090/S0002-9939-99-04551-7
- MathSciNet review: 1468201