A free boundary problem with non local interaction
arXiv:1801.09410 · doi:10.1007/s11040-018-9282-4
Abstract
We prove local existence for classical solutions of a free boundary problem which arises in one of the biological selection models proposed by Brunet and Derrida, [2] and Durrett and Remenik, [14]. The problem we consider describes the limit evolution of branching brownian particles on the line with death of the leftmost particle at each creation time as studied in [12]. We use extensively results in [5] and [15].
20 pages
References in corpus (5)
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