Exponential decay for the growth-fragmentation/cell-division equation

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dc.creatorLaurençot, Philippe
dc.creatorPerthame, Benoît
dc.date2009-01-30
dc.date.accessioned2026-07-07T12:36:30Z
dc.date.available2026-07-07T12:36:30Z
dc.descriptionWe consider the linear growth-fragmentation equation arising in the modelling of cell division or polymerisation processes. For constant coefficients, we prove that the dynamics converges to the steady state with an exponential rate. The control on the initial data uses an elaborate $L^1$-norm that seems to be necessary. It also reflects the main idea of the proof which is to use an anti-derivative of the solution. The main technical difficulty is related to the entropy dissipation rate which is too weak to produce a Poincaré inequality.
dc.identifierhttps://arxiv.org/abs/0901.4880
dc.identifierhttp://arxiv.org/abs/0901.4880
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218114
dc.subjectAnalysis of PDEs
dc.subject35B40; 45K05; 82D60; 92D25
dc.titleExponential decay for the growth-fragmentation/cell-division equation
dc.typetext

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