Long term dynamics of the discrete growth-decay-fragmentation equation
arXiv:1801.064861.23 citationsh-index: 27
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Provides a theoretical foundation for the long-term dynamics of growth-decay-fragmentation equations, which are used in mathematical biology and physics.
The authors prove that for a broad class of growth-decay-fragmentation equations, the solution semigroup is analytic and compact, ensuring Asynchronous Exponential Growth. This establishes long-term dynamic behavior for these models.
In this paper, we prove that for a large class of growth-decay-fragmentation problems the solution semigroup is analytic and compact and thus has the Asynchronous Exponential Growth property.