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- W2167636161 abstract "We consider a linear integro-differential equation which arises to describe both aggregation-fragmentation processes and cell division. We prove the existence of a solution (λ, [Formula: see text], ϕ) to the related eigenproblem. Such eigenelements are useful to study the long-time asymptotic behavior of solutions as well as the steady states when the equation is coupled with an ODE. Our study concerns a non-constant transport term that can vanish at x = 0, since it seems to be relevant to describe some biological processes like proteins aggregation. Non-lower-bounded transport terms bring difficulties to find a priori estimates. All the work of this paper is to solve this problem using weighted-norms." @default.
- W2167636161 created "2016-06-24" @default.
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- W2167636161 date "2010-05-01" @default.
- W2167636161 modified "2023-10-14" @default.
- W2167636161 title "EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL" @default.
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- W2167636161 doi "https://doi.org/10.1142/s021820251000443x" @default.
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