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On the trace of the difference of Schrödinger heat semigroups

Published online by Cambridge University Press:  14 November 2011

M. van den Berg
M. van den Berg
Affiliation:
Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS
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Synopsis

We obtain upper and lower bounds for tr (e−th−etΔ), where H = −Δ + V is a Schrödinger operator on L2 (ℝm), and ℝ is the Laplace operator for ℝm. The bounds are obtained for a class of negative valued Borel measurable potentials with compact support and in L∞(ℝm).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 1-2 , 1991 , pp. 169 - 175
Copyright
Copyright © Royal Society of Edinburgh 1991

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