Publications de l'Institut Mathématique, Nouvelle Série Vol. 83(97), pp. 49–55 (2008) |
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APPLICATION OF THE MEAN ERGODIC THEOREM TO CERTAIN SEMIGROUPSGerd Herzog and Christoph SchmoegerInstitut für Analysis, Universität Karlsruhe, 76128 Karlsruhe, GermanyAbstract: We study the asymptotic behaviour of solutions of the Cauchy problem $u'=\bigl(\sum_{j=1}^n (A_j+A_j^{-1})-2nI\bigr)u$, $u(0)=x$ as $t\to\infty$, for invertible isometries $A_1,\dots,A_n$. Classification (MSC2000): 34G10; 47A35 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 21 Oct 2008. This page was last modified: 10 Dec 2008.
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