UNIVERSAL BOUNDS FOR GLOBAL SOLUTIONS OF A DIFFUSION EQUATION WITH A MIXED LOCAL-NONLOCAL REACTION TERM

被引：0
|
作者：
Rouchon, P. P. [1 ]
机构：
[1] Comenius Univ, Dept Appl Math & Stat, Bratislava 84248, Slovakia
来源：
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2006年 / 75卷 / 01期
关键词：
Nonlinear parabolic equations; local and nonlocal reaction term; boundedness of global solutions; a priori estimates; universal bounds;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove the existence of a universal, i.e. independent of the initial data, bound for global positive solutions of a diffusion equation with a mixed local-nonlocal reaction term. Such results are already known in some cases of local or nonlocal reaction terms.
引用
收藏
页码：63 / 74
页数：12
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