Geodesic
Shilov parabolic systems
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 37 (2012) no. 1 
M. Kostić. Shilov parabolic systems. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 37 (2012) no. 1. http://geodesic.mathdoc.fr/item/BASS_2012_37_1_a1/
@article{BASS_2012_37_1_a1,
     author = {M. Kosti\'c},
     title = {Shilov parabolic systems},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {19 - 38},
     year = {2012},
     volume = {37},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BASS_2012_37_1_a1/}
}
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Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We apply semigroups of growth order r > 0 in the study of Shilov parabolic systems, and improve results obtained by the use of C-regularized semigroups. In the final part of paper, we consider some concrete examples and directly compute matrix exponentials with a view to strengthening the estimates obtained by abstract methods.