Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation

Banasiak, Jacek and Lamb, Wilson (2011) Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 141 (03). pp. 465-480.

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    Abstract

    In this paper we give an elementary proof of the unique, global-in-time solvability of the coagulation-(multiple) fragmentation equation with polynomially bounded fragmentation and particle production rates and a bounded coagulation rate. The proof relies on a new result concerning domain invariance for the fragmentation semigroup which is based on a simple monotonicity argument.

    ORCID iDs

    Banasiak, Jacek and Lamb, Wilson ORCID logoORCID: https://orcid.org/0000-0001-8084-6054;
    • Item type:Article
      ID code:29093
      Dates:
      Date
      Event
      June 2011
      Published
      3 June 2011
      Published Online
      Keywords:semigroups of operators , coagulations, strong solutions, semilinear Cauchy problems, Probabilities. Mathematical statistics, Mathematics(all)
      Subjects:Science > Mathematics > Probabilities. Mathematical statistics
      Department:Faculty of Science > Mathematics and Statistics
      Depositing user: Pure Administrator
      Date deposited:07 Mar 2011 23:25
      Last modified:19 Jun 2021 00:27
      URI:https://strathprints.strath.ac.uk/id/eprint/29093
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