Abstract
n this paper we show that continuous fragmentation operators are sectorial for a large range of physically relevant fragmentation rates and use this fact to prove classical solvability of the combined coagulation–fragmentation equation with unbounded coagulation kernels.
Original language | English |
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Pages (from-to) | 312-322 |
Number of pages | 11 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 391 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jul 2012 |
Keywords
- fragmentation
- moment estimates
- coagulation
- real interpolation
- fractional powers of operators
- classical solutions
- analytic semigroups
- sectorial operators
- Semilinear Cauchy problem
- semigroups of operators