Weak solutions to the continuous coagulation equation with multiple fragmentation

Ankik Kumar Giri; Gerald Warnecke; Philippe Laurencot (IMT)

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Weak solutions to the continuous coagulation equation with multiple fragmentation

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arxiv 1101.4169 v1 pith:IBVK23E2 submitted 2011-01-21 math.AP

Ankik Kumar Giri , Philippe Laurencot (IMT) , Gerald Warnecke This is my paper · ORCID

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keywords fragmentationcoagulationkernelcontinuousequationmultipleoriginsingularity

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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.

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