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.

    Creators(s): Lamb, Wilson ORCID logoORCID: https://orcid.org/0000-0001-8084-6054 and Mcbride, Adam;
    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:14 Jan 2021 01:41
    URI:https://strathprints.strath.ac.uk/id/eprint/29094
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