Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiquesAcadémie Serbe des Sciences et des Arts, Beograd
Vol. CXXVII, No. 28, pp. 7-16 (2003)
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Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques Académie Serbe des Sciences et des Arts, Beograd Vol. CXXVII, No. 28, pp. 7-16 (2003) |
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Distribution semigroups on $\k _{1}$M. Mijatovic and S. PilipovicInstitute of Mathematics, University of Novi Sad, Trg Dositeja Obradovica 4, 21000 Novi Sad, Serbia and MontenegroAbstract: 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 $D(A) \subset E=C_{b}({\Bbb R}).$ Keywords: Distribution semigroups, quasi-distribution semigroups, integrated semigroups, infinitesimal generator Classification (MSC2000): 47D06, 47A10, 46F10 Full text of the article:
Electronic version published on: 17 Dec 2003. This page was last modified: 17 Dec 2003.
© 2003 Mathematical Institute of the Serbian Academy of Science and Arts
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