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 0022-247X

Official URL: http://dx.doi.org/10.1016/j.jmaa.2012.02.002

## 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.

Item type: | Article |
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ID code: | 40672 |

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 |

Related URLs: | |

Depositing user: | Pure Administrator |

Date Deposited: | 02 Aug 2012 13:46 |

Last modified: | 27 Mar 2014 10:23 |

URI: | http://strathprints.strath.ac.uk/id/eprint/40672 |

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