Properties of solutions for a reaction-diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition

被引：2

作者：

Wang, Jian ^{[1
]}

Yang, Hui ^{[1
]}

机构：

[1] Ocean Univ China, Sch Math Sci, Qingdao, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2018年

关键词：

Reaction-diffusion equation; Global existence; Nonlinear absorption; Blow-up; Neumann boundary condition; SEMILINEAR PARABOLIC EQUATION; BLOW-UP; BEHAVIOR;

D O I：

10.1186/s13661-018-1069-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors consider the reaction-diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition. They prove that the solution either exists globally or blows up in finite time depending on the initial data, the weighting function on the border, and nonlinear indexes in the equation by using the comparison principle.

引用

页数：14

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