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arXiv · 1210.1500

Regular Solutions to the Coagulation Equations with Singular Kernels

Carlos Cueto Camejo·Robin Gröpler·Gerald Warnecke
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Abstract

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 in order to obtain regular solutions. 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 mentioned.

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Carlos Cueto Camejo, Robin Gröpler, Gerald Warnecke. 2014-01-21. Regular Solutions to the Coagulation Equations with Singular Kernels. https://arxiv.org/abs/1210.1500

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