Title of article
Analytic fragmentation semigroups and continuous coagulation–fragmentation equations with unbounded rates
Author/Authors
Banasiak، نويسنده , , Jacek and Lamb، نويسنده , , Wilson، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
11
From page
312
To page
322
Abstract
In 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.
Keywords
Fractional powers of operators , Real interpolation , Coagulation , fragmentation , Sectorial operators , Semilinear Cauchy problem , analytic semigroups , Semigroups of operators , Moment estimates , Classical solutions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562777
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