Distribution semigroups on $k _{1}$
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 28 (2003), p. 7
Distribution semigroup in the sense of Wang
and Kunstmana and the properties of infinitesimal generator are
considered with in exponentially bounded distributions. Results
are applied on a class of equations of the form $\displaystyle
\frac{\partial }{\partial t} 4-An =f, \; f \in {\cal{K}}_{1}^{+}
(L(e)),$ where $D(A) \subset L^{\infty }({\Bbb R})$ or $D(A)
\subset E=C_{b}({\Bbb R}).$
DOI :
10.2298/BMAT0328007M
Classification :
47D06 47A10 46F10
Keywords: Distribution semigroups, quasi-distribution semigroups, integrated semigroups, infinitesimal generator
Keywords: Distribution semigroups, quasi-distribution semigroups, integrated semigroups, infinitesimal generator
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author = {M. Mijatovi\'c and S. Pilipovi\'c},
title = {Distribution semigroups on $k _{1}$},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {7 },
year = {2003},
volume = {28},
doi = {10.2298/BMAT0328007M},
zbl = {1110.47304},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/BMAT0328007M/}
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M. Mijatović; S. Pilipović. Distribution semigroups on $k _{1}$. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 28 (2003), p. 7 . doi: 10.2298/BMAT0328007M
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