Weak solutions to the continuous coagulation equation with multiple   fragmentation
  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 were assumed. 
Ankik Kumar Giri, Philippe Laurencot (IMT), Gerald Warnecke
math.AP