期刊论文详细信息
Boundary Value Problems | |
Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions | |
Huimin Tian1  Lingling Zhang1  | |
[1] Department of Mathematics, Taiyuan University of Technology; | |
关键词: Reaction diffusion equations; Blow-up; Global; Lower and upper bounds; | |
DOI : 10.1186/s13661-020-01363-y | |
来源: DOAJ |
【 摘 要 】
Abstract In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on the data to prove the existence of global solution. Moreover, based on maximum principles, we obtain a criterion that guarantees the occurrence of the blow-up. When blow-up occurs, we discuss an upper bound and a lower bound on blow-up time. At last, we apply two examples to illustrate our main results.
【 授权许可】
Unknown