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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
    Related URLs:
      Depositing user: Pure Administrator
      Date Deposited: 07 Mar 2011 23:25
      Last modified: 05 Sep 2014 13:35
      URI: http://strathprints.strath.ac.uk/id/eprint/29094

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