  The global existence of mass-conserving weak solutions to the
Safronov-Dubovskii coagulation equation is shown for the coagulation kernels
satisfying the at most linear growth for large sizes. In contrast to previous
works, the proof mainly relies on the de la Vallee-Poussin theorem [8, Theorem
7.1.6], which only requires the finiteness of the first moment of the initial
condition. By showing the necessary regularity of solutions, it is shown that
the weak solutions con-structed herein are indeed classical solutions. Under
additional restrictions on the initial data, the uniqueness of solutions is
also shown. Finally, the continuous dependence on the initial data and the
large-time behaviour of solutions are also addressed.
