1210.1500 (Carlos Cueto Camejo et al.)

Existence and Uniqueness of Solutions to the Coagulation Equations with
Singular Kernel    [PDF]

Carlos Cueto Camejo, Robin Gröpler, Gerald Warnecke

In this article we prove the existence of solutions to the coagulation equation with singular kernels. We use weighted $L^1$-spaces to deal with the singularities. The Smoluchowski kernel is covered by our proof. The weak $L^1$ compactness methods are applied to suitably chosen approximating equations as a base of our proof. A more restrictive uniqueness result is also given.

View original: http://arxiv.org/abs/1210.1500