具有吸收项的加权反应扩散方程解的性质  

Properties of Solutions to Weighted Reaction-diffusion Equations with Absorption Terms

作　　者：杨来君 杨梓 YANG Laijun;YANG Zi(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《滨州学院学报》2023年第6期58-64,共7页Journal of Binzhou University

摘　　要：研究了在Neumann非局部边界条件下具有加权反应扩散方程解的性质。通过构造辅助函数,运用微分不等式技巧,得到了解的全局存在性和高维空间中爆破时间的上下界。The properties of solutions of weighted reactions-diffusion equations is dealt with under Neumann nonlocal boundary conditions.Based on the method of auxiliary function and the technique of modified differential inequality,the global existence of the solution and the upper and lower bounds of blow-up time in higher dimensional space are obtained.

关 键 词：反应扩散方程 加权项 上界 下界 

分 类 号：O175.26[理学—数学]