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On the essential self-adjointness of powers of Schrödinger operators

Published online by Cambridge University Press:  14 November 2011

Thomas T. Read
Thomas T. Read
Affiliation:
Department of Mathematics, Western Washington University, Bellingham, Washington 98225, U.S.A.
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Synopsis

Sufficient conditions are given for the minimal operator T0 generated by the elliptic differential expression τ = ρ−1 (−Σ DjajkDk + q) to be essentially self-adjoint in the weighted Hilbert space , and for all powers of T0 to be essentially self-adjoint.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 97 , 1984 , pp. 233 - 246
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

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