On the essential self-adjointness of the general second order elliptic operators-Reference-Cited by-同舟云学术

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

Published:1999 Issue:3 Volume:127 Page:889-900
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Oleinik I.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-03/S0002-9939-99-04551-7/S0002-9939-99-04551-7.pdf

Reference20 articles.

1. Global Analysis Pure and Applied: Series B;Abraham, Ralph,1983

2. Translations of Mathematical Monographs;Berezanskiĭ, Yu. M.,1986

3. Mathematics and its Applications (Soviet Series);Berezin, F. A.,1991

4. M. Braverman, On self-adjointness of a Schrödinger operator on differential forms, Proc. Amer. Math. Soc. 126 (1998), 617–623.

5. Essential self-adjointness of powers of generators of hyperbolic equations;Chernoff, Paul R.;J. Functional Analysis,1973

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