A distributional approach to fragmentation equations
Lamb, Wilson and Mcbride, Adam (2011) A distributional approach to fragmentation equations. Communications in Applied Analysis, 15. pp. 511-520. ISSN 1083-2564
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Abstract
We consider a linear integro-di®erential equation that models multiple fragmentation with inherent mass-loss. A systematic procedure is presented for constructing a space of generalised functions Z0 in which initial-value problems involving singular initial conditions such as the Dirac delta distribution can be analysed. The procedure makes use of results on sun dual semigroups and quasi-equicontinuous semigroups on locally convex spaces. The existence and uniqueness of a distributional solution to an abstract version of the initial-value problem are established for any given initial data u0 in Z0.
ORCID iDs
Lamb, Wilson ORCID: https://orcid.org/0000-0001-8084-6054 and Mcbride, Adam;-
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Item type: Article ID code: 29094 Dates: DateEvent2011PublishedNotes: This article has now been published Subjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 07 Mar 2011 23:25 Last modified: 12 Oct 2024 00:18 URI: https://strathprints.strath.ac.uk/id/eprint/29094