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arXiv · 1801.09410

A free boundary problem with non local interaction

Jimyeong Lee
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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].

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Jimyeong Lee. 2018-01-29. A free boundary problem with non local interaction. https://doi.org/10.1007/s11040-018-9282-4

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