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Uniform primitivity of semigroups generated by perturbed elliptic differential operators

Published online by Cambridge University Press:  24 October 2008

H. Hering
H. Hering
Affiliation:
Universität Regensburg, Regensburg, Germany
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Extract

Our problem and the motive for attacking it are the same as in (1). Using a different method, we obtain a result admitting disconnected domains and higher dimensions without symmetry assumptions. For a detailed introduction we refer to (1).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 2 , March 1978 , pp. 261 - 268
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

REFERENCES

(1)Hering, H.Refined positivity theorem for semigroups generated by perturbed differential operators of second order with an application to Markov branching processes. Math. Proc. Cambridge Philos. Soc. 83 (1978), 253–259.CrossRefGoogle Scholar
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(3)Kato, T.Perturbation theory of linear operators, 1st ed. (Berlin, Heidelberg, New York, Springer-Verlag, 1966).Google Scholar
(4)Krasnosel'skiǐ, M. A.Positive solutions of operator equations. (Groningen P. Noordhoff, 1964). (Translation from the Russian.)Google Scholar
(5)Kreǐn, M. G. and Rutman, M. A.Linear operators leaving invariant a cone in a Banach space. Uspehi Mat. Nauk 3 (1948), 1–95. (Russian); Amer. Math. Soc. Trans. (1) 26 (1950).Google Scholar
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