4.2 Article

A short remark on a growth-fragmentation equation

Journal

COMPTES RENDUS MATHEMATIQUE
Volume 355, Issue 3, Pages 290-295

Publisher

ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crma.2017.01.013

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Funding

  1. DGES Grant [MTM2014-52347-C2-1-R]
  2. Basque Government Grant [IT641-13]

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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 [ 5] 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. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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