Analytic fragmentation semigroups and classical solutions to coagulation–fragmentation equations — a survey

dc.contributor.authorBanasiak, Jacek
dc.contributor.emailjacek.banasiak@up.ac.zaen_ZA
dc.date.accessioned2018-06-14T07:06:49Z
dc.date.issued2019-01
dc.description.abstractIn the paper we present a survey of recent results obtained by the author that concern discrete fragmentation–coagulation models with growth. Models like that are particularly important in mathematical biology and ecology where they describe the aggregation of living organisms. The main results discussed in the paper are the existence of classical semigroup solutions to the fragmentation–coagulation equations.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2020-01-01
dc.description.librarianhj2018en_ZA
dc.description.sponsorshipThe National Research Foundation of South Africa (Grant No. 82770).en_ZA
dc.description.urihttp://link.springer.com/journal/10114en_ZA
dc.identifier.citationBanasiak, J. Analytic Fragmentation Semigroups and Classical Solutions to Coagulation–fragmentation Equations — a Survey. Acta Mathematica Sinica, English Series (2019) 35: 83-104. https://doi.org/10.1007/s10114-018-7435-9.en_ZA
dc.identifier.isbn10.1007/s10114-018-7435-9
dc.identifier.issn1439-8516 (print)
dc.identifier.issn1439-7617 (online)
dc.identifier.urihttp://hdl.handle.net/2263/65144
dc.language.isoenen_ZA
dc.publisherSpringeren_ZA
dc.rights© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature 2018. The original publication is available at : http://link.springer.comjournal/10114.en_ZA
dc.subjectClassical solutionsen_ZA
dc.subjectSemilinear problemsen_ZA
dc.subjectPositive semigroupsen_ZA
dc.subjectInterpolationen_ZA
dc.subjectFragmentationen_ZA
dc.subjectCoagulationen_ZA
dc.titleAnalytic fragmentation semigroups and classical solutions to coagulation–fragmentation equations — a surveyen_ZA
dc.typePostprint Articleen_ZA

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