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Nonselfadjoint Schrödinger operators with singular first-order coefficients*

Published online by Cambridge University Press:  14 November 2011

Tosio Kato
Tosio Kato
Affiliation:
Department of Mathematics, University of California, Berkeley, CA 94720, U.S.A.
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Synopsis

Schrödinger operators of the form T = (i grad + b(x))2 + a(x) · grad + q(x) in Rm are considered, where a, b ate real vector-valued functions and q is a scalar complex-valued function. It is shown that T is essentially quasi-m-accretive in L2(Rm) if (1 + #x2223;∣)−1a ∈ L4 + L∞, div a ∈ L∞, , and Re q ≧ 0. The proof is elementary.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 3-4 , 1984 , pp. 323 - 329
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

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