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

页码：95 / 112

页数：18

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