Abstract
A standard model for pure fragmentation is subjected to an initial condition of Dirac-delta type. Results for a corresponding abstract Cauchy problem are derived via the theory of equicontinuous semigroups of operators on locally convex spaces. An explicit solution is obtained for the case of a power-law kernel. Rigorous justification is thereby provided for results obtained more formally by Ziff and McGrady. Copyright © 2010 John Wiley & Sons, Ltd.
Original language | English |
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Pages (from-to) | 1183-1191 |
Number of pages | 8 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 33 |
Issue number | 10 |
DOIs | |
Publication status | Published - 15 Jul 2010 |
Keywords
- fragmentation
- abstract cauchy problem
- equicontinuous semigroup
- dirac delta