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.
|Number of pages||8|
|Journal||Mathematical Methods in the Applied Sciences|
|Publication status||Published - 15 Jul 2010|
- abstract cauchy problem
- equicontinuous semigroup
- dirac delta