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Inequalities and separation for Schrödinger type operators in L2(Rn)*

Published online by Cambridge University Press:  14 November 2011

W. N. Everitt  and
M. Giertz
W. N. Everitt
Affiliation:
Department of Mathematics, University of Dundee
M. Giertz
Affiliation:
Department of Mathematics, The Royal Institute of Technology, Stockholm
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Synopsis

The symmetric differential expression M determined by Mf = − Δf;+qf on G, where Δ is the Laplacian operator and G a region of n-dimensional real euclidean space Rn, is said to be separated if qfϵL2(G) for all f ϵ Dt,; here D1 ⊂ L2(G) is the maximal domain of definition of M determined in the sense of generalized derivatives. Conditions are given on the coefficient q to obtain separation and certain associated integral inequalities.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 79 , Issue 3-4 , 1978 , pp. 257 - 265
Copyright
Copyright © Royal Society of Edinburgh 1978

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