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一类反应扩散方程正解的存在性和爆破性
Existence and Blow-up of Positive Solutions for A Reaction Diffusion Equation
【摘要】 本文研究一类具有非局部非线性Neumann边界条件和非线性吸收项的非局部反应扩散方程解的性质。通过构造适当的上下解方法,给出正解全局与非全局存在性的充分条件。
【Abstract】 In this paper, the global existence and blow-up in the finite time of positive solutions for the nonlocal reaction-diffusion equation with nonlinear absorption and with nonlinear nonlocal Neumann boundary condition are studied. And some conditions for the existence of global and non-global solutions are given by constructing different supersolutions and subsolutions.
【关键词】 反应扩散方程;
全局存在;
爆破;
Neumann边界条件;
【Key words】 reaction-diffusion equation; global existence; blow-up; Neumann boundary condition;
【Key words】 reaction-diffusion equation; global existence; blow-up; Neumann boundary condition;
【基金】 国家自然科学基金项目(11671188)资助~~
- 【文献出处】 中国海洋大学学报(自然科学版) ,Periodical of Ocean University of China , 编辑部邮箱 ,2019年S1期
- 【分类号】O175
- 【被引频次】4
- 【下载频次】105