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arxiv: 1611.09324 · v2 · pith:UFQPAE45new · submitted 2016-11-28 · 🧮 math.AP

A short remark on a Growth Fragmentation equation

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keywords equationfragmentationgrowthsolutionblowscalledcasecite
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An explicit solution for a growth fragmentation equation with constant dislocation measure is obtained. In this example the necessary condition for the general results in \cite{BW} about the existence of global solutions in the so called self similar case is not satisfied. The solution is local and blows up in finite time.

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