A free boundary problem in biological selection models
Probability
2017-07-06 v1 Analysis of PDEs
Populations and Evolution
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].
Cite
@article{arxiv.1707.01232,
title = {A free boundary problem in biological selection models},
author = {Jimyeong Lee},
journal= {arXiv preprint arXiv:1707.01232},
year = {2017}
}
Comments
10pages