A free Boundary Problem for a Reaction-Diffusion Equation Appearing in Biology

被引：4
|
作者：
Takhirov, J. O. [1 ]
机构：
[1] Uzbek Acad Sci, Inst Math, Tashkent, Uzbekistan
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2019年 / 50卷 / 01期
关键词：
Free boundary problem; quasilinear equations; a priori estimates; EPIDEMIC MODEL;
D O I：
10.1007/s13226-019-0309-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This works studies a quasilinear, reaction-diffusion type parabolic free boundary problem modelling population dynamics. Holder norm a priori estimates are established for the free boundary and the solution. Uniqueness of the solution is shown and qualitative properties of the solution are investigated.
引用
收藏
页码：95 / 112
页数：18
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