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 ![]() | Item type: | Article |
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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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