A free boundary problem in biological selection models (1707.01232v1)

Published 5 Jul 2017 in math.PR, math.AP, and q-bio.PE

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, [3]. 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 [7]. We use extensively results in [1] and [2].

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Authors (1)

Jimyeong Lee

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