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On the essential self-adjointness of powers of Schrödinger-type operators

Published online by Cambridge University Press:  14 February 2012

W. D. Evans
W. D. Evans
Affiliation:
Department of Pure Mathematics, University College, Cardiff
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Synopsis

Let T be the formally self-adjoint second-order elliptic differential expression

in ℝn, where the coefficients bj, ajk, q are real-valued and ajk ≈ akj. In this paper sufficient conditions for all positive integer powers Tm of T to be essentially self-adjoint on are obtained.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 79 , Issue 1-2 , 1977 , pp. 61 - 77
Copyright
Copyright © Royal Society of Edinburgh 1977

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