English

Existence of the global solutions of an integro-differential equation in population dynamics

Analysis of PDEs 2017-02-28 v1

Abstract

We study a nonlinear integro-differential equation arising in population dynamics. It has been already proved by Rybka, Tang and Waxman that it has a unique local in time solution. Here, after deriving appropriate a priori estimates we show that the dynamics is global in time.

Keywords

Cite

@article{arxiv.1702.08057,
  title  = {Existence of the global solutions of an integro-differential equation in population dynamics},
  author = {Dariusz Socha},
  journal= {arXiv preprint arXiv:1702.08057},
  year   = {2017}
}