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UID:1881@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170919T110000
DTEND;TZID=Europe/Paris:20170919T120000
DTSTAMP:20170904T090000Z
URL:https://www.i2m.univ-amu.fr/evenements/on-the-existence-or-not-of-solu
 tions-to-critical-growth-fragmentation-equations/
SUMMARY: (...): On the existence or not of solutions to critical growth fra
 gmentation equations
DESCRIPTION:: A  growth fragmentation equation with constant dislocation de
 nsity measure will be considered\, in which  growth and division rates bal
 ance each other. This  leads to a simple  example of equation where the so
  called ``Malthusian hypothesis'' ofJ. Bertoin and A. Watson (2016) is not
  necessarily satisfied. We will prove first\, under suitable conditions\, 
 the existence and uniqueness of local non negative solutions satisfying na
 tural boundedness conditions of its moments\, and give their explicit anal
 ytical expression.Then we will show that\, when the ``Malthusian hypothesi
 s'' is not satisfied\, no global (or even local sometimes) non negative we
 ak solution\, satisfying some natural boundedness condition on its moments
 \, exists.  When a local non negative solution exists\, the explicit expre
 ssion is given. http://www.ehu.eus/miguelescobedo/
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20170326T030000
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