Banasiak, Jacek and Lamb, Wilson (2012) Analytic fragmentation semigroups and continuous coagulation–fragmentation equations with unbounded rates. Journal of Mathematical Analysis and Applications, 391 (1). pp. 312-322. ISSN 0022-247XFull text not available in this repository. (Request a copy from the Strathclyde author)
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.
|Keywords:||fragmentation, moment estimates, coagulation, real interpolation, fractional powers of operators, classical solutions, analytic semigroups, sectorial operators, Semilinear Cauchy problem, semigroups of operators, Mathematics, Analysis, Applied Mathematics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Pure Administrator|
|Date Deposited:||02 Aug 2012 12:46|
|Last modified:||27 Apr 2016 18:54|