Skeleton for the one-dimensional aggregation equation

Juan Carlos Cantero Guardeño, Joan Orobitg Huguet

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For the aggregation equation in R, we consider the evolution of an initial density corresponding to the characteristic function of some set Ω0. We study the limit measure at the blow up time 1 for Ω0
open or compact and we inspect the limit set (skeleton) where this measure is supported.
Translated title of the contributionSkeleton para la ecuación de la agregación unidimensional
Original languageEnglish
Article number17
Number of pages9
JournalAnalysis and Mathematical Physics
Issue number1
Publication statusPublished - 28 Jan 2023


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