A Free Boundary Problem with Non Local Interaction

被引：0
作者：
Jimyeong Lee
机构：
[1] Gran Sasso Science Institute,
来源：
Mathematical Physics, Analysis and Geometry | 2018年 / 21卷
关键词：
Free boundary problem; Hydrodynamic limit; Non local term; Biological selection model; 35A01; 35Q92; 35R35; 60G99;
D O I：
暂无
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学科分类号：
摘要：
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, (Phys. Rev. E 56, 2597D2604, 1997) and Durrett and Remenik, (Ann. Probab. 39, 2043–2078, 2011). 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 De Masi et al. (2017). We use extensively results in Cannon (1984) and Fasano (2008).
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