On the stability of strongly continuous semigroups of positive operators on L 2 ( μ )

G. Greiner; R. Nagel

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1983)

  • Volume: 10, Issue: 2, page 257-262
  • ISSN: 0391-173X

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Greiner, G., and Nagel, R.. "On the stability of strongly continuous semigroups of positive operators on $L^2 (\mu )$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 10.2 (1983): 257-262. <http://eudml.org/doc/83906>.

@article{Greiner1983,
author = {Greiner, G., Nagel, R.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {spectral bound; growth bound; generator of a strongly continuous semigroup of positive operators on Hilbert-lattices},
language = {eng},
number = {2},
pages = {257-262},
publisher = {Scuola normale superiore},
title = {On the stability of strongly continuous semigroups of positive operators on $L^2 (\mu )$},
url = {http://eudml.org/doc/83906},
volume = {10},
year = {1983},
}

TY - JOUR
AU - Greiner, G.
AU - Nagel, R.
TI - On the stability of strongly continuous semigroups of positive operators on $L^2 (\mu )$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1983
PB - Scuola normale superiore
VL - 10
IS - 2
SP - 257
EP - 262
LA - eng
KW - spectral bound; growth bound; generator of a strongly continuous semigroup of positive operators on Hilbert-lattices
UR - http://eudml.org/doc/83906
ER -

References

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  1. [1] A. Belleni-Morante, Applied Semigroups and Evolution Equations, Oxford University Press, Oxford, 1979. Zbl0426.47020MR548865
  2. [2] E.B. Davies, One-parameter Semigroups, Academic Press, London, 1980. Zbl0457.47030MR591851
  3. [3] R. Derndinger, Über das Spektrum positiver Generatoren, Math. Z., 172 (1980), pp. 281-293. Zbl0444.47030MR581445
  4. [4] G. Greiner, J. Voigt, M. Wolff, On the spectral bound of the generator of semigroups of positive operators, J. Operator Theory, 5 (1981), pp. 245-256. Zbl0469.47032MR617977
  5. [5] U. Groh, F. Neubrander, Stabilität starkstetiger, positiver Operatorhalbgruppen auf C*-Algebren, Math. Ann., 256 (1981), pp. 509-516. Zbl0487.47033MR628231
  6. [6] L.A. Monauni, On the abstract Cauchy problem and the generation problem for semigroups of bounded operators, Control Theory Centre Report No. 90, War-wick, 1980. 
  7. [7] R. Nagel, Zur Charakterisierung stabiler Operatorhalbgruppen, Semesterbericht Funktionalanalysis, Tübingen, 1981- 82. 
  8. [8] A. Pazy, Semigroups of linear operators and applications to partial differential equations, Univ. Maryland Lecture Notes No. 10, 1974. 
  9. [9] A.J. Pritchard, J. Zabczyk, Stability and stabilizability of infinite dimensional systems, SIAM Rev., 23 (1981), pp. 25-52. Zbl0452.93029MR605439
  10. [10] J. Zabczyk, A note on C0-semigroups, Bull. Acad. Polon. Sci., 23 (1975), pp. 895-898. Zbl0312.47037MR383144

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