abstract: The existence of weak solutions to the continuous coagulation equation with multiple fragmentation is shown for a class of unbounded coagulation and fragmentation kernels, the fragmentation kernel having possibly a singularity at the origin. This result extends previous ones where either boundedness of the coagulation kernel or no singularity at the origin for the fragmentation kernel was assumed.
authors.affiliation: Institute for Applied Mathematics, Montan University Leoben, Franz Josef Straße 18, A-8700 Leoben, Austria.
authors.forename: Ankik Kumar
authors.initials: AK
authors.lastname: Giri
authors.forename: Philippe
authors.initials: P
authors.lastname: Laurençot
authors.forename: Gerald
authors.initials: G
authors.lastname: Warnecke