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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.

Item type: Article
ID code: 29094
Notes: This article has now been published
Keywords: fragmentation equations, mathematics, linear integro-di®erential equation , convex spaces, Mathematics, Modelling and Simulation, Analysis, Applied Mathematics, Numerical Analysis
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Pure Administrator
Date deposited: 07 Mar 2011 23:25
Last modified: 22 Sep 2017 16:28
URI: https://strathprints.strath.ac.uk/id/eprint/29094
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