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A note on the domain characterization of certain Schrödinger operators with strongly singular potentials

Published online by Cambridge University Press:  14 November 2011

Hubert Kalf
Hubert Kalf
Affiliation:
Fachbereich Mathematik, Technische Hochschule Darmstadt, Schlossgartenstr. 7, D-6100 Darmstadt, B.R.D.
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Synopsis

For β > β0: = 1 −[(n − 2)/2]2 and n ≧ 2, it was recently shown by Simon that the self-adjoint operator associated with −Δ + βr−2 in L2(ℝn) has domain H2(ℝn) ∩D(r−2) the constant β0 being the best possible. An alternative proof of this result is given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 97 , 1984 , pp. 125 - 130
Copyright
Copyright © Royal Society of Edinburgh 1984

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