A DISTRIBUTIONAL APPROACH TO FRAGMENTATION EQUATIONS

WILSON LAMB; ADAM  MCBRIDE

Title	A DISTRIBUTIONAL APPROACH TO FRAGMENTATION EQUATIONS
Publication Type	Journal Article
Year of Publication	2011
Authors	LAMB, WILSON, MCBRIDE, ADAM
Volume	15
Issue	4
Start Page	511
Pagination	10
Date Published	2011
ISSN	1083-2564
AMS	45K05, 46F05, 47D06
Abstract	We consider a linear integro-differential equation that models multiple fragmentation with inherent mass-loss. A systematic procedure is presented for constructing a space of generalised functions Z′ 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 Z′ .
URL	http://www.acadsol.eu/en/articles/15/4/6.pdf
Refereed Designation	Refereed
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