Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-19T09:14:36.666Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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
(2)Itô, S.Fundamental solutions of parabolic differential equations and boundary value problems. Japan J. Math. 27 (1957), 55–102.CrossRefGoogle Scholar
(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
(6)Sato, K. and Ueno, T.Multidimensional diffusion and the Markov process on the boundary. J. Math. Kyoto Univ. 4 (1965), 529–605.Google Scholar