Friday, October 5, 2012

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

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