Well-posedness for a model of prion proliferation dynamics

被引：0
|
作者：
Philippe Laurençot
Christoph Walker
机构：
[1] Université Paul Sabatier - Toulouse 3,Mathématiques pour l’Industrie et la Physique, CNRS UMR 5640
[2] Vanderbilt University,Department of Mathematics
来源：
Journal of Evolution Equations | 2007年 / 7卷
关键词：
35F25; 45K05; 92B05; Prion proliferation; weak solutions; uniqueness; existence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The model considered consists of an ordinary differential equation coupled with an integro-partial differential equation and describes the interaction between non-infectious and infectious prion proteins. We provide sufficient conditions for uniqueness of monomer-preserving weak solutions. In addition, we also prove existence of weak solutions under rather general assumptions on the involved degradation rates.
引用
收藏
页码：241 / 264
页数：23
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